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Finding the Fourth Proportional to 4,864.88, 7,284.72 and 3,543.20

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Solution

The fourth proportional to 4,864.88, 7,284.72 and 3,543.20 is: 5,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.88 : 7,284.72 = 3,543.20 : x
  2. Step 2: Convert to fraction form
    4,864.88/7,284.72 = 3,543.20/x
  3. Step 3: Cross multiply
    4,864.88x = 7,284.72 × 3,543.20
  4. Step 4: Simplify right side
    4,864.88x = 25,811,219.90
  5. Step 5: Solve for x
    x = 25,811,219.90/4,864.88
  6. Step 6: Final answer
    x = 5,305.62

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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.