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Finding the Fourth Proportional to 5,810.76, 8,713.31 and 2,890.71

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Solution

The fourth proportional to 5,810.76, 8,713.31 and 2,890.71 is: 4,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.76 : 8,713.31 = 2,890.71 : x
  2. Step 2: Convert to fraction form
    5,810.76/8,713.31 = 2,890.71/x
  3. Step 3: Cross multiply
    5,810.76x = 8,713.31 × 2,890.71
  4. Step 4: Simplify right side
    5,810.76x = 25,187,637.90
  5. Step 5: Solve for x
    x = 25,187,637.90/5,810.76
  6. Step 6: Final answer
    x = 4,334.65

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Why These Related Problems?

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