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Finding the Fourth Proportional to 6,290.70, 8,681.40 and 3,458.40

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Solution

The fourth proportional to 6,290.70, 8,681.40 and 3,458.40 is: 4,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.70 : 8,681.40 = 3,458.40 : x
  2. Step 2: Convert to fraction form
    6,290.70/8,681.40 = 3,458.40/x
  3. Step 3: Cross multiply
    6,290.70x = 8,681.40 × 3,458.40
  4. Step 4: Simplify right side
    6,290.70x = 30,023,753.76
  5. Step 5: Solve for x
    x = 30,023,753.76/6,290.70
  6. Step 6: Final answer
    x = 4,772.72

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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.