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Finding the Fourth Proportional to 5,988.30, 8,265.06 and 4,103.70

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Solution

The fourth proportional to 5,988.30, 8,265.06 and 4,103.70 is: 5,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988.30 : 8,265.06 = 4,103.70 : x
  2. Step 2: Convert to fraction form
    5,988.30/8,265.06 = 4,103.70/x
  3. Step 3: Cross multiply
    5,988.30x = 8,265.06 × 4,103.70
  4. Step 4: Simplify right side
    5,988.30x = 33,917,326.72
  5. Step 5: Solve for x
    x = 33,917,326.72/5,988.30
  6. Step 6: Final answer
    x = 5,663.93

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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.