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Finding the Fourth Proportional to 4,731.27, 7,088.58 and 4,215.86

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Solution

The fourth proportional to 4,731.27, 7,088.58 and 4,215.86 is: 6,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.27 : 7,088.58 = 4,215.86 : x
  2. Step 2: Convert to fraction form
    4,731.27/7,088.58 = 4,215.86/x
  3. Step 3: Cross multiply
    4,731.27x = 7,088.58 × 4,215.86
  4. Step 4: Simplify right side
    4,731.27x = 29,884,449.55
  5. Step 5: Solve for x
    x = 29,884,449.55/4,731.27
  6. Step 6: Final answer
    x = 6,316.37

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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.