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Finding the Fourth Proportional to 5,902.96, 8,854.50 and 3,436.21

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Solution

The fourth proportional to 5,902.96, 8,854.50 and 3,436.21 is: 5,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.96 : 8,854.50 = 3,436.21 : x
  2. Step 2: Convert to fraction form
    5,902.96/8,854.50 = 3,436.21/x
  3. Step 3: Cross multiply
    5,902.96x = 8,854.50 × 3,436.21
  4. Step 4: Simplify right side
    5,902.96x = 30,425,928.12
  5. Step 5: Solve for x
    x = 30,425,928.12/5,902.96
  6. Step 6: Final answer
    x = 5,154.35

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Why These Related Problems?

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