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Finding the Fourth Proportional to 3,463.89, 4,780.10 and 1,951.53

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Solution

The fourth proportional to 3,463.89, 4,780.10 and 1,951.53 is: 2,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.89 : 4,780.10 = 1,951.53 : x
  2. Step 2: Convert to fraction form
    3,463.89/4,780.10 = 1,951.53/x
  3. Step 3: Cross multiply
    3,463.89x = 4,780.10 × 1,951.53
  4. Step 4: Simplify right side
    3,463.89x = 9,328,506.75
  5. Step 5: Solve for x
    x = 9,328,506.75/3,463.89
  6. Step 6: Final answer
    x = 2,693.07

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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.