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Finding the Fourth Proportional to 5,615.86, 7,747.42 and 3,376.44

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Solution

The fourth proportional to 5,615.86, 7,747.42 and 3,376.44 is: 4,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.86 : 7,747.42 = 3,376.44 : x
  2. Step 2: Convert to fraction form
    5,615.86/7,747.42 = 3,376.44/x
  3. Step 3: Cross multiply
    5,615.86x = 7,747.42 × 3,376.44
  4. Step 4: Simplify right side
    5,615.86x = 26,158,698.78
  5. Step 5: Solve for x
    x = 26,158,698.78/5,615.86
  6. Step 6: Final answer
    x = 4,658.00

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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.