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Finding the Fourth Proportional to 5,206.40, 7,772.50 and 5,024.16

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Solution

The fourth proportional to 5,206.40, 7,772.50 and 5,024.16 is: 7,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.40 : 7,772.50 = 5,024.16 : x
  2. Step 2: Convert to fraction form
    5,206.40/7,772.50 = 5,024.16/x
  3. Step 3: Cross multiply
    5,206.40x = 7,772.50 × 5,024.16
  4. Step 4: Simplify right side
    5,206.40x = 39,050,283.60
  5. Step 5: Solve for x
    x = 39,050,283.60/5,206.40
  6. Step 6: Final answer
    x = 7,500.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.