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Finding the Fourth Proportional to 4,672.20, 6,448.08 and 2,972.49

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Solution

The fourth proportional to 4,672.20, 6,448.08 and 2,972.49 is: 4,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.20 : 6,448.08 = 2,972.49 : x
  2. Step 2: Convert to fraction form
    4,672.20/6,448.08 = 2,972.49/x
  3. Step 3: Cross multiply
    4,672.20x = 6,448.08 × 2,972.49
  4. Step 4: Simplify right side
    4,672.20x = 19,166,853.32
  5. Step 5: Solve for x
    x = 19,166,853.32/4,672.20
  6. Step 6: Final answer
    x = 4,102.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.