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Finding the Fourth Proportional to 5,342.52, 8,010 and 2,052.84

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Solution

The fourth proportional to 5,342.52, 8,010 and 2,052.84 is: 3,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.52 : 8,010 = 2,052.84 : x
  2. Step 2: Convert to fraction form
    5,342.52/8,010 = 2,052.84/x
  3. Step 3: Cross multiply
    5,342.52x = 8,010 × 2,052.84
  4. Step 4: Simplify right side
    5,342.52x = 16,443,248.40
  5. Step 5: Solve for x
    x = 16,443,248.40/5,342.52
  6. Step 6: Final answer
    x = 3,077.81

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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.