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Finding the Fourth Proportional to 4,748.05, 7,123.29 and 1,825.57

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Solution

The fourth proportional to 4,748.05, 7,123.29 and 1,825.57 is: 2,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.05 : 7,123.29 = 1,825.57 : x
  2. Step 2: Convert to fraction form
    4,748.05/7,123.29 = 1,825.57/x
  3. Step 3: Cross multiply
    4,748.05x = 7,123.29 × 1,825.57
  4. Step 4: Simplify right side
    4,748.05x = 13,004,064.53
  5. Step 5: Solve for x
    x = 13,004,064.53/4,748.05
  6. Step 6: Final answer
    x = 2,738.82

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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.