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Finding the Fourth Proportional to 5,614.49, 7,751.60 and 5,024.00

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Solution

The fourth proportional to 5,614.49, 7,751.60 and 5,024.00 is: 6,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.49 : 7,751.60 = 5,024.00 : x
  2. Step 2: Convert to fraction form
    5,614.49/7,751.60 = 5,024.00/x
  3. Step 3: Cross multiply
    5,614.49x = 7,751.60 × 5,024.00
  4. Step 4: Simplify right side
    5,614.49x = 38,943,974.52
  5. Step 5: Solve for x
    x = 38,943,974.52/5,614.49
  6. Step 6: Final answer
    x = 6,936.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.