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Finding the Fourth Proportional to 6,031.88, 9,046.39 and 3,400.55

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Solution

The fourth proportional to 6,031.88, 9,046.39 and 3,400.55 is: 5,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.88 : 9,046.39 = 3,400.55 : x
  2. Step 2: Convert to fraction form
    6,031.88/9,046.39 = 3,400.55/x
  3. Step 3: Cross multiply
    6,031.88x = 9,046.39 × 3,400.55
  4. Step 4: Simplify right side
    6,031.88x = 30,762,701.51
  5. Step 5: Solve for x
    x = 30,762,701.51/6,031.88
  6. Step 6: Final answer
    x = 5,100.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.