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Finding the Fourth Proportional to 4,384.32, 6,579 and 1,787.28

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Solution

The fourth proportional to 4,384.32, 6,579 and 1,787.28 is: 2,681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.32 : 6,579 = 1,787.28 : x
  2. Step 2: Convert to fraction form
    4,384.32/6,579 = 1,787.28/x
  3. Step 3: Cross multiply
    4,384.32x = 6,579 × 1,787.28
  4. Step 4: Simplify right side
    4,384.32x = 11,758,515.12
  5. Step 5: Solve for x
    x = 11,758,515.12/4,384.32
  6. Step 6: Final answer
    x = 2,681.95

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