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Finding the Fourth Proportional to 5,652.31, 7,800.21 and 3,134.66

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Solution

The fourth proportional to 5,652.31, 7,800.21 and 3,134.66 is: 4,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.31 : 7,800.21 = 3,134.66 : x
  2. Step 2: Convert to fraction form
    5,652.31/7,800.21 = 3,134.66/x
  3. Step 3: Cross multiply
    5,652.31x = 7,800.21 × 3,134.66
  4. Step 4: Simplify right side
    5,652.31x = 24,450,970.22
  5. Step 5: Solve for x
    x = 24,450,970.22/5,652.31
  6. Step 6: Final answer
    x = 4,325.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.