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Finding the Fourth Proportional to 5,470.68, 7,547.76 and 3,232.62

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Solution

The fourth proportional to 5,470.68, 7,547.76 and 3,232.62 is: 4,459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.68 : 7,547.76 = 3,232.62 : x
  2. Step 2: Convert to fraction form
    5,470.68/7,547.76 = 3,232.62/x
  3. Step 3: Cross multiply
    5,470.68x = 7,547.76 × 3,232.62
  4. Step 4: Simplify right side
    5,470.68x = 24,399,039.93
  5. Step 5: Solve for x
    x = 24,399,039.93/5,470.68
  6. Step 6: Final answer
    x = 4,459.96

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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.