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Finding the Fourth Proportional to 4,230.54, 6,347.16 and 2,039.40

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Solution

The fourth proportional to 4,230.54, 6,347.16 and 2,039.40 is: 3,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.54 : 6,347.16 = 2,039.40 : x
  2. Step 2: Convert to fraction form
    4,230.54/6,347.16 = 2,039.40/x
  3. Step 3: Cross multiply
    4,230.54x = 6,347.16 × 2,039.40
  4. Step 4: Simplify right side
    4,230.54x = 12,944,398.10
  5. Step 5: Solve for x
    x = 12,944,398.10/4,230.54
  6. Step 6: Final answer
    x = 3,059.75

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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.