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Finding the Fourth Proportional to 4,259.71, 5,864.76 and 4,166.76

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Solution

The fourth proportional to 4,259.71, 5,864.76 and 4,166.76 is: 5,736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.71 : 5,864.76 = 4,166.76 : x
  2. Step 2: Convert to fraction form
    4,259.71/5,864.76 = 4,166.76/x
  3. Step 3: Cross multiply
    4,259.71x = 5,864.76 × 4,166.76
  4. Step 4: Simplify right side
    4,259.71x = 24,437,047.38
  5. Step 5: Solve for x
    x = 24,437,047.38/4,259.71
  6. Step 6: Final answer
    x = 5,736.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.