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Finding the Fourth Proportional to 4,026.42, 6,041.70 and 1,974.42

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Solution

The fourth proportional to 4,026.42, 6,041.70 and 1,974.42 is: 2,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026.42 : 6,041.70 = 1,974.42 : x
  2. Step 2: Convert to fraction form
    4,026.42/6,041.70 = 1,974.42/x
  3. Step 3: Cross multiply
    4,026.42x = 6,041.70 × 1,974.42
  4. Step 4: Simplify right side
    4,026.42x = 11,928,853.31
  5. Step 5: Solve for x
    x = 11,928,853.31/4,026.42
  6. Step 6: Final answer
    x = 2,962.65

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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.