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Finding the Fourth Proportional to 4,420.86, 6,098.38 and 3,713.46

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Solution

The fourth proportional to 4,420.86, 6,098.38 and 3,713.46 is: 5,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,420.86 : 6,098.38 = 3,713.46 : x
  2. Step 2: Convert to fraction form
    4,420.86/6,098.38 = 3,713.46/x
  3. Step 3: Cross multiply
    4,420.86x = 6,098.38 × 3,713.46
  4. Step 4: Simplify right side
    4,420.86x = 22,646,090.19
  5. Step 5: Solve for x
    x = 22,646,090.19/4,420.86
  6. Step 6: Final answer
    x = 5,122.55

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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.