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Finding the Fourth Proportional to 4,814.40, 7,207.52 and 4,353.24

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Solution

The fourth proportional to 4,814.40, 7,207.52 and 4,353.24 is: 6,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.40 : 7,207.52 = 4,353.24 : x
  2. Step 2: Convert to fraction form
    4,814.40/7,207.52 = 4,353.24/x
  3. Step 3: Cross multiply
    4,814.40x = 7,207.52 × 4,353.24
  4. Step 4: Simplify right side
    4,814.40x = 31,376,064.36
  5. Step 5: Solve for x
    x = 31,376,064.36/4,814.40
  6. Step 6: Final answer
    x = 6,517.13

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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.