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Finding the Fourth Proportional to 4,113.27, 6,159.27 and 3,770.74

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Solution

The fourth proportional to 4,113.27, 6,159.27 and 3,770.74 is: 5,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.27 : 6,159.27 = 3,770.74 : x
  2. Step 2: Convert to fraction form
    4,113.27/6,159.27 = 3,770.74/x
  3. Step 3: Cross multiply
    4,113.27x = 6,159.27 × 3,770.74
  4. Step 4: Simplify right side
    4,113.27x = 23,225,005.76
  5. Step 5: Solve for x
    x = 23,225,005.76/4,113.27
  6. Step 6: Final answer
    x = 5,646.36

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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.