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Finding the Fourth Proportional to 4,347.60, 6,520.72 and 1,227.84

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Solution

The fourth proportional to 4,347.60, 6,520.72 and 1,227.84 is: 1,841.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.60 : 6,520.72 = 1,227.84 : x
  2. Step 2: Convert to fraction form
    4,347.60/6,520.72 = 1,227.84/x
  3. Step 3: Cross multiply
    4,347.60x = 6,520.72 × 1,227.84
  4. Step 4: Simplify right side
    4,347.60x = 8,006,400.84
  5. Step 5: Solve for x
    x = 8,006,400.84/4,347.60
  6. Step 6: Final answer
    x = 1,841.57

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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.