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Finding the Fourth Proportional to 3,126.10, 4,313.84 and 1,728.76

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Solution

The fourth proportional to 3,126.10, 4,313.84 and 1,728.76 is: 2,385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.10 : 4,313.84 = 1,728.76 : x
  2. Step 2: Convert to fraction form
    3,126.10/4,313.84 = 1,728.76/x
  3. Step 3: Cross multiply
    3,126.10x = 4,313.84 × 1,728.76
  4. Step 4: Simplify right side
    3,126.10x = 7,457,594.04
  5. Step 5: Solve for x
    x = 7,457,594.04/3,126.10
  6. Step 6: Final answer
    x = 2,385.59

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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.