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Finding the Fourth Proportional to 3,502.34, 5,253.83 and 1,652.95

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Solution

The fourth proportional to 3,502.34, 5,253.83 and 1,652.95 is: 2,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.34 : 5,253.83 = 1,652.95 : x
  2. Step 2: Convert to fraction form
    3,502.34/5,253.83 = 1,652.95/x
  3. Step 3: Cross multiply
    3,502.34x = 5,253.83 × 1,652.95
  4. Step 4: Simplify right side
    3,502.34x = 8,684,318.30
  5. Step 5: Solve for x
    x = 8,684,318.30/3,502.34
  6. Step 6: Final answer
    x = 2,479.58

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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.