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Finding the Fourth Proportional to 6,031.84, 8,326.64 and 3,548

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Solution

The fourth proportional to 6,031.84, 8,326.64 and 3,548 is: 4,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.84 : 8,326.64 = 3,548 : x
  2. Step 2: Convert to fraction form
    6,031.84/8,326.64 = 3,548/x
  3. Step 3: Cross multiply
    6,031.84x = 8,326.64 × 3,548
  4. Step 4: Simplify right side
    6,031.84x = 29,542,918.72
  5. Step 5: Solve for x
    x = 29,542,918.72/6,031.84
  6. Step 6: Final answer
    x = 4,897.83

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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.