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Finding the Fourth Proportional to 5,646.66, 8,470.02 and 2,566.50

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Solution

The fourth proportional to 5,646.66, 8,470.02 and 2,566.50 is: 3,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.66 : 8,470.02 = 2,566.50 : x
  2. Step 2: Convert to fraction form
    5,646.66/8,470.02 = 2,566.50/x
  3. Step 3: Cross multiply
    5,646.66x = 8,470.02 × 2,566.50
  4. Step 4: Simplify right side
    5,646.66x = 21,738,306.33
  5. Step 5: Solve for x
    x = 21,738,306.33/5,646.66
  6. Step 6: Final answer
    x = 3,849.76

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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.