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Finding the Fourth Proportional to 3,699.57, 5,549.58 and 1,508.25

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Solution

The fourth proportional to 3,699.57, 5,549.58 and 1,508.25 is: 2,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.57 : 5,549.58 = 1,508.25 : x
  2. Step 2: Convert to fraction form
    3,699.57/5,549.58 = 1,508.25/x
  3. Step 3: Cross multiply
    3,699.57x = 5,549.58 × 1,508.25
  4. Step 4: Simplify right side
    3,699.57x = 8,370,154.04
  5. Step 5: Solve for x
    x = 8,370,154.04/3,699.57
  6. Step 6: Final answer
    x = 2,262.47

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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.