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Finding the Fourth Proportional to 5,914, 8,869.98 and 1,753.96

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Solution

The fourth proportional to 5,914, 8,869.98 and 1,753.96 is: 2,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914 : 8,869.98 = 1,753.96 : x
  2. Step 2: Convert to fraction form
    5,914/8,869.98 = 1,753.96/x
  3. Step 3: Cross multiply
    5,914x = 8,869.98 × 1,753.96
  4. Step 4: Simplify right side
    5,914x = 15,557,590.12
  5. Step 5: Solve for x
    x = 15,557,590.12/5,914
  6. Step 6: Final answer
    x = 2,630.64

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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.