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Finding the Fourth Proportional to 5,867.38, 8,802 and 1,970.89

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Solution

The fourth proportional to 5,867.38, 8,802 and 1,970.89 is: 2,956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.38 : 8,802 = 1,970.89 : x
  2. Step 2: Convert to fraction form
    5,867.38/8,802 = 1,970.89/x
  3. Step 3: Cross multiply
    5,867.38x = 8,802 × 1,970.89
  4. Step 4: Simplify right side
    5,867.38x = 17,347,773.78
  5. Step 5: Solve for x
    x = 17,347,773.78/5,867.38
  6. Step 6: Final answer
    x = 2,956.65

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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.