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Finding the Fourth Proportional to 5,901.85, 8,149.31 and 4,017.39

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Solution

The fourth proportional to 5,901.85, 8,149.31 and 4,017.39 is: 5,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.85 : 8,149.31 = 4,017.39 : x
  2. Step 2: Convert to fraction form
    5,901.85/8,149.31 = 4,017.39/x
  3. Step 3: Cross multiply
    5,901.85x = 8,149.31 × 4,017.39
  4. Step 4: Simplify right side
    5,901.85x = 32,738,956.50
  5. Step 5: Solve for x
    x = 32,738,956.50/5,901.85
  6. Step 6: Final answer
    x = 5,547.24

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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.