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Finding the Fourth Proportional to 4,711.12, 6,502.54 and 3,219.64

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Solution

The fourth proportional to 4,711.12, 6,502.54 and 3,219.64 is: 4,443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.12 : 6,502.54 = 3,219.64 : x
  2. Step 2: Convert to fraction form
    4,711.12/6,502.54 = 3,219.64/x
  3. Step 3: Cross multiply
    4,711.12x = 6,502.54 × 3,219.64
  4. Step 4: Simplify right side
    4,711.12x = 20,935,837.89
  5. Step 5: Solve for x
    x = 20,935,837.89/4,711.12
  6. Step 6: Final answer
    x = 4,443.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.