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Finding the Fourth Proportional to 5,970.71, 8,960.32 and 2,686.57

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Solution

The fourth proportional to 5,970.71, 8,960.32 and 2,686.57 is: 4,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.71 : 8,960.32 = 2,686.57 : x
  2. Step 2: Convert to fraction form
    5,970.71/8,960.32 = 2,686.57/x
  3. Step 3: Cross multiply
    5,970.71x = 8,960.32 × 2,686.57
  4. Step 4: Simplify right side
    5,970.71x = 24,072,507.86
  5. Step 5: Solve for x
    x = 24,072,507.86/5,970.71
  6. Step 6: Final answer
    x = 4,031.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.