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Finding the Fourth Proportional to 6,278.34, 8,661.15 and 4,291.68

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Solution

The fourth proportional to 6,278.34, 8,661.15 and 4,291.68 is: 5,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.34 : 8,661.15 = 4,291.68 : x
  2. Step 2: Convert to fraction form
    6,278.34/8,661.15 = 4,291.68/x
  3. Step 3: Cross multiply
    6,278.34x = 8,661.15 × 4,291.68
  4. Step 4: Simplify right side
    6,278.34x = 37,170,884.23
  5. Step 5: Solve for x
    x = 37,170,884.23/6,278.34
  6. Step 6: Final answer
    x = 5,920.50

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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.