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Finding the Fourth Proportional to 5,712.24, 7,883.16 and 4,312.56

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Solution

The fourth proportional to 5,712.24, 7,883.16 and 4,312.56 is: 5,951.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.24 : 7,883.16 = 4,312.56 : x
  2. Step 2: Convert to fraction form
    5,712.24/7,883.16 = 4,312.56/x
  3. Step 3: Cross multiply
    5,712.24x = 7,883.16 × 4,312.56
  4. Step 4: Simplify right side
    5,712.24x = 33,996,600.49
  5. Step 5: Solve for x
    x = 33,996,600.49/5,712.24
  6. Step 6: Final answer
    x = 5,951.54

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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.