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Finding the Fourth Proportional to 6,291.12, 8,681.68 and 3,458.66

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Solution

The fourth proportional to 6,291.12, 8,681.68 and 3,458.66 is: 4,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.12 : 8,681.68 = 3,458.66 : x
  2. Step 2: Convert to fraction form
    6,291.12/8,681.68 = 3,458.66/x
  3. Step 3: Cross multiply
    6,291.12x = 8,681.68 × 3,458.66
  4. Step 4: Simplify right side
    6,291.12x = 30,026,979.35
  5. Step 5: Solve for x
    x = 30,026,979.35/6,291.12
  6. Step 6: Final answer
    x = 4,772.91

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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.