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Finding the Fourth Proportional to 3,710.49, 5,569.38 and 2,824.75

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Solution

The fourth proportional to 3,710.49, 5,569.38 and 2,824.75 is: 4,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.49 : 5,569.38 = 2,824.75 : x
  2. Step 2: Convert to fraction form
    3,710.49/5,569.38 = 2,824.75/x
  3. Step 3: Cross multiply
    3,710.49x = 5,569.38 × 2,824.75
  4. Step 4: Simplify right side
    3,710.49x = 15,732,113.02
  5. Step 5: Solve for x
    x = 15,732,113.02/3,710.49
  6. Step 6: Final answer
    x = 4,239.90

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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.