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Finding the Fourth Proportional to 3,635.71, 5,454.47 and 1,170.81

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Solution

The fourth proportional to 3,635.71, 5,454.47 and 1,170.81 is: 1,756.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.71 : 5,454.47 = 1,170.81 : x
  2. Step 2: Convert to fraction form
    3,635.71/5,454.47 = 1,170.81/x
  3. Step 3: Cross multiply
    3,635.71x = 5,454.47 × 1,170.81
  4. Step 4: Simplify right side
    3,635.71x = 6,386,148.02
  5. Step 5: Solve for x
    x = 6,386,148.02/3,635.71
  6. Step 6: Final answer
    x = 1,756.51

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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.