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Finding the Fourth Proportional to 4,671.52, 6,448.01 and 2,682.72

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Solution

The fourth proportional to 4,671.52, 6,448.01 and 2,682.72 is: 3,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.52 : 6,448.01 = 2,682.72 : x
  2. Step 2: Convert to fraction form
    4,671.52/6,448.01 = 2,682.72/x
  3. Step 3: Cross multiply
    4,671.52x = 6,448.01 × 2,682.72
  4. Step 4: Simplify right side
    4,671.52x = 17,298,191.97
  5. Step 5: Solve for x
    x = 17,298,191.97/4,671.52
  6. Step 6: Final answer
    x = 3,702.90

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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.