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Finding the Fourth Proportional to 3,698.13, 5,545.80 and 1,505.64

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Solution

The fourth proportional to 3,698.13, 5,545.80 and 1,505.64 is: 2,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.13 : 5,545.80 = 1,505.64 : x
  2. Step 2: Convert to fraction form
    3,698.13/5,545.80 = 1,505.64/x
  3. Step 3: Cross multiply
    3,698.13x = 5,545.80 × 1,505.64
  4. Step 4: Simplify right side
    3,698.13x = 8,349,978.31
  5. Step 5: Solve for x
    x = 8,349,978.31/3,698.13
  6. Step 6: Final answer
    x = 2,257.89

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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.