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Finding the Fourth Proportional to 4,671.89, 6,446.52 and 2,682.53

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Solution

The fourth proportional to 4,671.89, 6,446.52 and 2,682.53 is: 3,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.89 : 6,446.52 = 2,682.53 : x
  2. Step 2: Convert to fraction form
    4,671.89/6,446.52 = 2,682.53/x
  3. Step 3: Cross multiply
    4,671.89x = 6,446.52 × 2,682.53
  4. Step 4: Simplify right side
    4,671.89x = 17,292,951.06
  5. Step 5: Solve for x
    x = 17,292,951.06/4,671.89
  6. Step 6: Final answer
    x = 3,701.49

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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.