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Finding the Fourth Proportional to 4,727.52, 7,096.24 and 2,264.40

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Solution

The fourth proportional to 4,727.52, 7,096.24 and 2,264.40 is: 3,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.52 : 7,096.24 = 2,264.40 : x
  2. Step 2: Convert to fraction form
    4,727.52/7,096.24 = 2,264.40/x
  3. Step 3: Cross multiply
    4,727.52x = 7,096.24 × 2,264.40
  4. Step 4: Simplify right side
    4,727.52x = 16,068,725.86
  5. Step 5: Solve for x
    x = 16,068,725.86/4,727.52
  6. Step 6: Final answer
    x = 3,398.98

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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.