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Finding the Fourth Proportional to 4,252.50, 6,377.54 and 1,787.87

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Solution

The fourth proportional to 4,252.50, 6,377.54 and 1,787.87 is: 2,681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252.50 : 6,377.54 = 1,787.87 : x
  2. Step 2: Convert to fraction form
    4,252.50/6,377.54 = 1,787.87/x
  3. Step 3: Cross multiply
    4,252.50x = 6,377.54 × 1,787.87
  4. Step 4: Simplify right side
    4,252.50x = 11,402,219.44
  5. Step 5: Solve for x
    x = 11,402,219.44/4,252.50
  6. Step 6: Final answer
    x = 2,681.30

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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.