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Finding the Fourth Proportional to 5,870.41, 8,101.42 and 3,217.76

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Solution

The fourth proportional to 5,870.41, 8,101.42 and 3,217.76 is: 4,440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.41 : 8,101.42 = 3,217.76 : x
  2. Step 2: Convert to fraction form
    5,870.41/8,101.42 = 3,217.76/x
  3. Step 3: Cross multiply
    5,870.41x = 8,101.42 × 3,217.76
  4. Step 4: Simplify right side
    5,870.41x = 26,068,407.05
  5. Step 5: Solve for x
    x = 26,068,407.05/5,870.41
  6. Step 6: Final answer
    x = 4,440.65

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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.