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Finding the Fourth Proportional to 5,777.94, 8,668.53 and 2,317.62

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Solution

The fourth proportional to 5,777.94, 8,668.53 and 2,317.62 is: 3,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.94 : 8,668.53 = 2,317.62 : x
  2. Step 2: Convert to fraction form
    5,777.94/8,668.53 = 2,317.62/x
  3. Step 3: Cross multiply
    5,777.94x = 8,668.53 × 2,317.62
  4. Step 4: Simplify right side
    5,777.94x = 20,090,358.50
  5. Step 5: Solve for x
    x = 20,090,358.50/5,777.94
  6. Step 6: Final answer
    x = 3,477.08

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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.