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Finding the Fourth Proportional to 6,052.59, 8,353.38 and 3,400.14

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Solution

The fourth proportional to 6,052.59, 8,353.38 and 3,400.14 is: 4,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,052.59 : 8,353.38 = 3,400.14 : x
  2. Step 2: Convert to fraction form
    6,052.59/8,353.38 = 3,400.14/x
  3. Step 3: Cross multiply
    6,052.59x = 8,353.38 × 3,400.14
  4. Step 4: Simplify right side
    6,052.59x = 28,402,661.47
  5. Step 5: Solve for x
    x = 28,402,661.47/6,052.59
  6. Step 6: Final answer
    x = 4,692.65

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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.