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Finding the Fourth Proportional to 5,901.50, 8,853.42 and 1,741.58

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Solution

The fourth proportional to 5,901.50, 8,853.42 and 1,741.58 is: 2,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.50 : 8,853.42 = 1,741.58 : x
  2. Step 2: Convert to fraction form
    5,901.50/8,853.42 = 1,741.58/x
  3. Step 3: Cross multiply
    5,901.50x = 8,853.42 × 1,741.58
  4. Step 4: Simplify right side
    5,901.50x = 15,418,939.20
  5. Step 5: Solve for x
    x = 15,418,939.20/5,901.50
  6. Step 6: Final answer
    x = 2,612.72

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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.