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Finding the Fourth Proportional to 6,414.24, 8,848.80 and 4,317.60

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Solution

The fourth proportional to 6,414.24, 8,848.80 and 4,317.60 is: 5,956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.24 : 8,848.80 = 4,317.60 : x
  2. Step 2: Convert to fraction form
    6,414.24/8,848.80 = 4,317.60/x
  3. Step 3: Cross multiply
    6,414.24x = 8,848.80 × 4,317.60
  4. Step 4: Simplify right side
    6,414.24x = 38,205,578.88
  5. Step 5: Solve for x
    x = 38,205,578.88/6,414.24
  6. Step 6: Final answer
    x = 5,956.37

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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.