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Finding the Fourth Proportional to 5,205.59, 7,801.59 and 4,545.90

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Solution

The fourth proportional to 5,205.59, 7,801.59 and 4,545.90 is: 6,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.59 : 7,801.59 = 4,545.90 : x
  2. Step 2: Convert to fraction form
    5,205.59/7,801.59 = 4,545.90/x
  3. Step 3: Cross multiply
    5,205.59x = 7,801.59 × 4,545.90
  4. Step 4: Simplify right side
    5,205.59x = 35,465,239.46
  5. Step 5: Solve for x
    x = 35,465,239.46/5,205.59
  6. Step 6: Final answer
    x = 6,812.92

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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.