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Finding the Fourth Proportional to 4,148, 5,729.10 and 2,748.32

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Solution

The fourth proportional to 4,148, 5,729.10 and 2,748.32 is: 3,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148 : 5,729.10 = 2,748.32 : x
  2. Step 2: Convert to fraction form
    4,148/5,729.10 = 2,748.32/x
  3. Step 3: Cross multiply
    4,148x = 5,729.10 × 2,748.32
  4. Step 4: Simplify right side
    4,148x = 15,745,400.11
  5. Step 5: Solve for x
    x = 15,745,400.11/4,148
  6. Step 6: Final answer
    x = 3,795.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.