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Finding the Fourth Proportional to 3,182.40, 4,748.64 and 3,164.16

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Solution

The fourth proportional to 3,182.40, 4,748.64 and 3,164.16 is: 4,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.40 : 4,748.64 = 3,164.16 : x
  2. Step 2: Convert to fraction form
    3,182.40/4,748.64 = 3,164.16/x
  3. Step 3: Cross multiply
    3,182.40x = 4,748.64 × 3,164.16
  4. Step 4: Simplify right side
    3,182.40x = 15,025,456.74
  5. Step 5: Solve for x
    x = 15,025,456.74/3,182.40
  6. Step 6: Final answer
    x = 4,721.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.