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Finding the Fourth Proportional to 4,384.64, 6,577.50 and 1,787.24

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Solution

The fourth proportional to 4,384.64, 6,577.50 and 1,787.24 is: 2,681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.64 : 6,577.50 = 1,787.24 : x
  2. Step 2: Convert to fraction form
    4,384.64/6,577.50 = 1,787.24/x
  3. Step 3: Cross multiply
    4,384.64x = 6,577.50 × 1,787.24
  4. Step 4: Simplify right side
    4,384.64x = 11,755,571.10
  5. Step 5: Solve for x
    x = 11,755,571.10/4,384.64
  6. Step 6: Final answer
    x = 2,681.08

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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.