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Finding the Fourth Proportional to 4,712.56, 7,063.97 and 1,591.52

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Solution

The fourth proportional to 4,712.56, 7,063.97 and 1,591.52 is: 2,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.56 : 7,063.97 = 1,591.52 : x
  2. Step 2: Convert to fraction form
    4,712.56/7,063.97 = 1,591.52/x
  3. Step 3: Cross multiply
    4,712.56x = 7,063.97 × 1,591.52
  4. Step 4: Simplify right side
    4,712.56x = 11,242,449.53
  5. Step 5: Solve for x
    x = 11,242,449.53/4,712.56
  6. Step 6: Final answer
    x = 2,385.64

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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.