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Finding the Fourth Proportional to 5,910.64, 8,148.50 and 4,229.14

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Solution

The fourth proportional to 5,910.64, 8,148.50 and 4,229.14 is: 5,830.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910.64 : 8,148.50 = 4,229.14 : x
  2. Step 2: Convert to fraction form
    5,910.64/8,148.50 = 4,229.14/x
  3. Step 3: Cross multiply
    5,910.64x = 8,148.50 × 4,229.14
  4. Step 4: Simplify right side
    5,910.64x = 34,461,147.29
  5. Step 5: Solve for x
    x = 34,461,147.29/5,910.64
  6. Step 6: Final answer
    x = 5,830.36

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