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Finding the Fourth Proportional to 5,652.39, 7,800.16 and 3,134.50

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Solution

The fourth proportional to 5,652.39, 7,800.16 and 3,134.50 is: 4,325.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.39 : 7,800.16 = 3,134.50 : x
  2. Step 2: Convert to fraction form
    5,652.39/7,800.16 = 3,134.50/x
  3. Step 3: Cross multiply
    5,652.39x = 7,800.16 × 3,134.50
  4. Step 4: Simplify right side
    5,652.39x = 24,449,568.31
  5. Step 5: Solve for x
    x = 24,449,568.31/5,652.39
  6. Step 6: Final answer
    x = 4,325.52

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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.