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Finding the Fourth Proportional to 3,588.66, 5,385.06 and 1,508.49

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Solution

The fourth proportional to 3,588.66, 5,385.06 and 1,508.49 is: 2,263.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.66 : 5,385.06 = 1,508.49 : x
  2. Step 2: Convert to fraction form
    3,588.66/5,385.06 = 1,508.49/x
  3. Step 3: Cross multiply
    3,588.66x = 5,385.06 × 1,508.49
  4. Step 4: Simplify right side
    3,588.66x = 8,123,309.16
  5. Step 5: Solve for x
    x = 8,123,309.16/3,588.66
  6. Step 6: Final answer
    x = 2,263.61

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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.