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Finding the Fourth Proportional to 4,290.42, 5,948.54 and 4,146.42

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Solution

The fourth proportional to 4,290.42, 5,948.54 and 4,146.42 is: 5,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.42 : 5,948.54 = 4,146.42 : x
  2. Step 2: Convert to fraction form
    4,290.42/5,948.54 = 4,146.42/x
  3. Step 3: Cross multiply
    4,290.42x = 5,948.54 × 4,146.42
  4. Step 4: Simplify right side
    4,290.42x = 24,665,124.49
  5. Step 5: Solve for x
    x = 24,665,124.49/4,290.42
  6. Step 6: Final answer
    x = 5,748.88

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.