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Finding the Fourth Proportional to 5,442.40, 8,156.77 and 2,943.49

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Solution

The fourth proportional to 5,442.40, 8,156.77 and 2,943.49 is: 4,411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.40 : 8,156.77 = 2,943.49 : x
  2. Step 2: Convert to fraction form
    5,442.40/8,156.77 = 2,943.49/x
  3. Step 3: Cross multiply
    5,442.40x = 8,156.77 × 2,943.49
  4. Step 4: Simplify right side
    5,442.40x = 24,009,324.06
  5. Step 5: Solve for x
    x = 24,009,324.06/5,442.40
  6. Step 6: Final answer
    x = 4,411.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.