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Finding the Fourth Proportional to 3,642.61, 5,470.01 and 3,184.36

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Solution

The fourth proportional to 3,642.61, 5,470.01 and 3,184.36 is: 4,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.61 : 5,470.01 = 3,184.36 : x
  2. Step 2: Convert to fraction form
    3,642.61/5,470.01 = 3,184.36/x
  3. Step 3: Cross multiply
    3,642.61x = 5,470.01 × 3,184.36
  4. Step 4: Simplify right side
    3,642.61x = 17,418,485.20
  5. Step 5: Solve for x
    x = 17,418,485.20/3,642.61
  6. Step 6: Final answer
    x = 4,781.87

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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.