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Finding the Fourth Proportional to 4,522.65, 6,790.80 and 3,693.42

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Solution

The fourth proportional to 4,522.65, 6,790.80 and 3,693.42 is: 5,545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.65 : 6,790.80 = 3,693.42 : x
  2. Step 2: Convert to fraction form
    4,522.65/6,790.80 = 3,693.42/x
  3. Step 3: Cross multiply
    4,522.65x = 6,790.80 × 3,693.42
  4. Step 4: Simplify right side
    4,522.65x = 25,081,276.54
  5. Step 5: Solve for x
    x = 25,081,276.54/4,522.65
  6. Step 6: Final answer
    x = 5,545.70

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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.