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Finding the Fourth Proportional to 5,652.29, 7,800.18 and 3,134.51

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Solution

The fourth proportional to 5,652.29, 7,800.18 and 3,134.51 is: 4,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.29 : 7,800.18 = 3,134.51 : x
  2. Step 2: Convert to fraction form
    5,652.29/7,800.18 = 3,134.51/x
  3. Step 3: Cross multiply
    5,652.29x = 7,800.18 × 3,134.51
  4. Step 4: Simplify right side
    5,652.29x = 24,449,720.71
  5. Step 5: Solve for x
    x = 24,449,720.71/5,652.29
  6. Step 6: Final answer
    x = 4,325.63

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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.