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Finding the Fourth Proportional to 5,498.42, 7,587.78 and 3,014.42

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Solution

The fourth proportional to 5,498.42, 7,587.78 and 3,014.42 is: 4,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.42 : 7,587.78 = 3,014.42 : x
  2. Step 2: Convert to fraction form
    5,498.42/7,587.78 = 3,014.42/x
  3. Step 3: Cross multiply
    5,498.42x = 7,587.78 × 3,014.42
  4. Step 4: Simplify right side
    5,498.42x = 22,872,755.79
  5. Step 5: Solve for x
    x = 22,872,755.79/5,498.42
  6. Step 6: Final answer
    x = 4,159.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.