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Finding the Fourth Proportional to 4,748.98, 7,123.70 and 1,462.56

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Solution

The fourth proportional to 4,748.98, 7,123.70 and 1,462.56 is: 2,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.98 : 7,123.70 = 1,462.56 : x
  2. Step 2: Convert to fraction form
    4,748.98/7,123.70 = 1,462.56/x
  3. Step 3: Cross multiply
    4,748.98x = 7,123.70 × 1,462.56
  4. Step 4: Simplify right side
    4,748.98x = 10,418,807.39
  5. Step 5: Solve for x
    x = 10,418,807.39/4,748.98
  6. Step 6: Final answer
    x = 2,193.90

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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.