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Finding the Fourth Proportional to 3,787.04, 5,678.24 and 1,706.70

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Solution

The fourth proportional to 3,787.04, 5,678.24 and 1,706.70 is: 2,559.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.04 : 5,678.24 = 1,706.70 : x
  2. Step 2: Convert to fraction form
    3,787.04/5,678.24 = 1,706.70/x
  3. Step 3: Cross multiply
    3,787.04x = 5,678.24 × 1,706.70
  4. Step 4: Simplify right side
    3,787.04x = 9,691,052.21
  5. Step 5: Solve for x
    x = 9,691,052.21/3,787.04
  6. Step 6: Final answer
    x = 2,559.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.