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Finding the Fourth Proportional to 3,671.65, 5,068.74 and 2,414.53

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Solution

The fourth proportional to 3,671.65, 5,068.74 and 2,414.53 is: 3,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.65 : 5,068.74 = 2,414.53 : x
  2. Step 2: Convert to fraction form
    3,671.65/5,068.74 = 2,414.53/x
  3. Step 3: Cross multiply
    3,671.65x = 5,068.74 × 2,414.53
  4. Step 4: Simplify right side
    3,671.65x = 12,238,624.79
  5. Step 5: Solve for x
    x = 12,238,624.79/3,671.65
  6. Step 6: Final answer
    x = 3,333.28

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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.