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Finding the Fourth Proportional to 5,748.52, 8,630.46 and 3,412.84

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Solution

The fourth proportional to 5,748.52, 8,630.46 and 3,412.84 is: 5,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.52 : 8,630.46 = 3,412.84 : x
  2. Step 2: Convert to fraction form
    5,748.52/8,630.46 = 3,412.84/x
  3. Step 3: Cross multiply
    5,748.52x = 8,630.46 × 3,412.84
  4. Step 4: Simplify right side
    5,748.52x = 29,454,379.11
  5. Step 5: Solve for x
    x = 29,454,379.11/5,748.52
  6. Step 6: Final answer
    x = 5,123.82

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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.