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Finding the Fourth Proportional to 5,070.06, 7,605.90 and 1,606.50

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Solution

The fourth proportional to 5,070.06, 7,605.90 and 1,606.50 is: 2,410.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.06 : 7,605.90 = 1,606.50 : x
  2. Step 2: Convert to fraction form
    5,070.06/7,605.90 = 1,606.50/x
  3. Step 3: Cross multiply
    5,070.06x = 7,605.90 × 1,606.50
  4. Step 4: Simplify right side
    5,070.06x = 12,218,878.35
  5. Step 5: Solve for x
    x = 12,218,878.35/5,070.06
  6. Step 6: Final answer
    x = 2,410.01

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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.