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Finding the Fourth Proportional to 6,147.04, 8,472.88 and 4,280.80

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Solution

The fourth proportional to 6,147.04, 8,472.88 and 4,280.80 is: 5,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.04 : 8,472.88 = 4,280.80 : x
  2. Step 2: Convert to fraction form
    6,147.04/8,472.88 = 4,280.80/x
  3. Step 3: Cross multiply
    6,147.04x = 8,472.88 × 4,280.80
  4. Step 4: Simplify right side
    6,147.04x = 36,270,704.70
  5. Step 5: Solve for x
    x = 36,270,704.70/6,147.04
  6. Step 6: Final answer
    x = 5,900.52

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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.