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Finding the Fourth Proportional to 4,148.61, 5,724.63 and 2,380.17

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Solution

The fourth proportional to 4,148.61, 5,724.63 and 2,380.17 is: 3,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.61 : 5,724.63 = 2,380.17 : x
  2. Step 2: Convert to fraction form
    4,148.61/5,724.63 = 2,380.17/x
  3. Step 3: Cross multiply
    4,148.61x = 5,724.63 × 2,380.17
  4. Step 4: Simplify right side
    4,148.61x = 13,625,592.59
  5. Step 5: Solve for x
    x = 13,625,592.59/4,148.61
  6. Step 6: Final answer
    x = 3,284.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.