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Finding the Fourth Proportional to 4,748.90, 7,123.34 and 1,286.42

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Solution

The fourth proportional to 4,748.90, 7,123.34 and 1,286.42 is: 1,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.90 : 7,123.34 = 1,286.42 : x
  2. Step 2: Convert to fraction form
    4,748.90/7,123.34 = 1,286.42/x
  3. Step 3: Cross multiply
    4,748.90x = 7,123.34 × 1,286.42
  4. Step 4: Simplify right side
    4,748.90x = 9,163,574.64
  5. Step 5: Solve for x
    x = 9,163,574.64/4,748.90
  6. Step 6: Final answer
    x = 1,929.62

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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.