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Finding the Fourth Proportional to 5,077.71, 7,607.25 and 3,513.24

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Solution

The fourth proportional to 5,077.71, 7,607.25 and 3,513.24 is: 5,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.71 : 7,607.25 = 3,513.24 : x
  2. Step 2: Convert to fraction form
    5,077.71/7,607.25 = 3,513.24/x
  3. Step 3: Cross multiply
    5,077.71x = 7,607.25 × 3,513.24
  4. Step 4: Simplify right side
    5,077.71x = 26,726,094.99
  5. Step 5: Solve for x
    x = 26,726,094.99/5,077.71
  6. Step 6: Final answer
    x = 5,263.42

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