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Finding the Fourth Proportional to 5,951.81, 8,926.70 and 1,569.31

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Solution

The fourth proportional to 5,951.81, 8,926.70 and 1,569.31 is: 2,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.81 : 8,926.70 = 1,569.31 : x
  2. Step 2: Convert to fraction form
    5,951.81/8,926.70 = 1,569.31/x
  3. Step 3: Cross multiply
    5,951.81x = 8,926.70 × 1,569.31
  4. Step 4: Simplify right side
    5,951.81x = 14,008,759.58
  5. Step 5: Solve for x
    x = 14,008,759.58/5,951.81
  6. Step 6: Final answer
    x = 2,353.70

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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.