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Finding the Fourth Proportional to 3,646.91, 5,470.48 and 1,181.74

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Solution

The fourth proportional to 3,646.91, 5,470.48 and 1,181.74 is: 1,772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.91 : 5,470.48 = 1,181.74 : x
  2. Step 2: Convert to fraction form
    3,646.91/5,470.48 = 1,181.74/x
  3. Step 3: Cross multiply
    3,646.91x = 5,470.48 × 1,181.74
  4. Step 4: Simplify right side
    3,646.91x = 6,464,685.04
  5. Step 5: Solve for x
    x = 6,464,685.04/3,646.91
  6. Step 6: Final answer
    x = 1,772.65

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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.