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Finding the Fourth Proportional to 5,937,797.85, 8,906,696.77 and 3,411,842.01

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Solution

The fourth proportional to 5,937,797.85, 8,906,696.77 and 3,411,842.01 is: 5,117,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937,797.85 : 8,906,696.77 = 3,411,842.01 : x
  2. Step 2: Convert to fraction form
    5,937,797.85/8,906,696.77 = 3,411,842.01/x
  3. Step 3: Cross multiply
    5,937,797.85x = 8,906,696.77 × 3,411,842.01
  4. Step 4: Simplify right side
    5,937,797.85x = 30,388,242,210,217.30
  5. Step 5: Solve for x
    x = 30,388,242,210,217.30/5,937,797.85
  6. Step 6: Final answer
    x = 5,117,763.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.