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Finding the Fourth Proportional to 5,497.60, 8,256.30 and 4,817.20

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Solution

The fourth proportional to 5,497.60, 8,256.30 and 4,817.20 is: 7,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.60 : 8,256.30 = 4,817.20 : x
  2. Step 2: Convert to fraction form
    5,497.60/8,256.30 = 4,817.20/x
  3. Step 3: Cross multiply
    5,497.60x = 8,256.30 × 4,817.20
  4. Step 4: Simplify right side
    5,497.60x = 39,772,248.36
  5. Step 5: Solve for x
    x = 39,772,248.36/5,497.60
  6. Step 6: Final answer
    x = 7,234.47

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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.