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Finding the Fourth Proportional to 5,902.12, 8,854.98 and 3,707.56

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Solution

The fourth proportional to 5,902.12, 8,854.98 and 3,707.56 is: 5,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.12 : 8,854.98 = 3,707.56 : x
  2. Step 2: Convert to fraction form
    5,902.12/8,854.98 = 3,707.56/x
  3. Step 3: Cross multiply
    5,902.12x = 8,854.98 × 3,707.56
  4. Step 4: Simplify right side
    5,902.12x = 32,830,369.65
  5. Step 5: Solve for x
    x = 32,830,369.65/5,902.12
  6. Step 6: Final answer
    x = 5,562.47

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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.