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Finding the Fourth Proportional to 3,646.59, 5,470.76 and 1,181.41

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Solution

The fourth proportional to 3,646.59, 5,470.76 and 1,181.41 is: 1,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.59 : 5,470.76 = 1,181.41 : x
  2. Step 2: Convert to fraction form
    3,646.59/5,470.76 = 1,181.41/x
  3. Step 3: Cross multiply
    3,646.59x = 5,470.76 × 1,181.41
  4. Step 4: Simplify right side
    3,646.59x = 6,463,204.66
  5. Step 5: Solve for x
    x = 6,463,204.66/3,646.59
  6. Step 6: Final answer
    x = 1,772.40

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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.