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Finding the Fourth Proportional to 5,782.76, 8,666.54 and 2,315.96

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Solution

The fourth proportional to 5,782.76, 8,666.54 and 2,315.96 is: 3,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.76 : 8,666.54 = 2,315.96 : x
  2. Step 2: Convert to fraction form
    5,782.76/8,666.54 = 2,315.96/x
  3. Step 3: Cross multiply
    5,782.76x = 8,666.54 × 2,315.96
  4. Step 4: Simplify right side
    5,782.76x = 20,071,359.98
  5. Step 5: Solve for x
    x = 20,071,359.98/5,782.76
  6. Step 6: Final answer
    x = 3,470.90

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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.