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Finding the Fourth Proportional to 3,646.47, 5,470.17 and 1,181.25

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Solution

The fourth proportional to 3,646.47, 5,470.17 and 1,181.25 is: 1,772.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.47 : 5,470.17 = 1,181.25 : x
  2. Step 2: Convert to fraction form
    3,646.47/5,470.17 = 1,181.25/x
  3. Step 3: Cross multiply
    3,646.47x = 5,470.17 × 1,181.25
  4. Step 4: Simplify right side
    3,646.47x = 6,461,638.31
  5. Step 5: Solve for x
    x = 6,461,638.31/3,646.47
  6. Step 6: Final answer
    x = 1,772.03

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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.