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Finding the Fourth Proportional to 3,698.59, 5,545.80 and 1,504.75

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Solution

The fourth proportional to 3,698.59, 5,545.80 and 1,504.75 is: 2,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.59 : 5,545.80 = 1,504.75 : x
  2. Step 2: Convert to fraction form
    3,698.59/5,545.80 = 1,504.75/x
  3. Step 3: Cross multiply
    3,698.59x = 5,545.80 × 1,504.75
  4. Step 4: Simplify right side
    3,698.59x = 8,345,042.55
  5. Step 5: Solve for x
    x = 8,345,042.55/3,698.59
  6. Step 6: Final answer
    x = 2,256.28

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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.