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Finding the Fourth Proportional to 4,760.52, 7,125.24 and 4,305.84

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Solution

The fourth proportional to 4,760.52, 7,125.24 and 4,305.84 is: 6,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.52 : 7,125.24 = 4,305.84 : x
  2. Step 2: Convert to fraction form
    4,760.52/7,125.24 = 4,305.84/x
  3. Step 3: Cross multiply
    4,760.52x = 7,125.24 × 4,305.84
  4. Step 4: Simplify right side
    4,760.52x = 30,680,143.40
  5. Step 5: Solve for x
    x = 30,680,143.40/4,760.52
  6. Step 6: Final answer
    x = 6,444.70

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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.