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Finding the Fourth Proportional to 5,902.34, 8,851.88 and 1,741.91

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Solution

The fourth proportional to 5,902.34, 8,851.88 and 1,741.91 is: 2,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.34 : 8,851.88 = 1,741.91 : x
  2. Step 2: Convert to fraction form
    5,902.34/8,851.88 = 1,741.91/x
  3. Step 3: Cross multiply
    5,902.34x = 8,851.88 × 1,741.91
  4. Step 4: Simplify right side
    5,902.34x = 15,419,194.40
  5. Step 5: Solve for x
    x = 15,419,194.40/5,902.34
  6. Step 6: Final answer
    x = 2,612.39

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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.