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Finding the Fourth Proportional to 5,712.30, 7,887.06 and 4,454.76

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Solution

The fourth proportional to 5,712.30, 7,887.06 and 4,454.76 is: 6,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.30 : 7,887.06 = 4,454.76 : x
  2. Step 2: Convert to fraction form
    5,712.30/7,887.06 = 4,454.76/x
  3. Step 3: Cross multiply
    5,712.30x = 7,887.06 × 4,454.76
  4. Step 4: Simplify right side
    5,712.30x = 35,134,959.41
  5. Step 5: Solve for x
    x = 35,134,959.41/5,712.30
  6. Step 6: Final answer
    x = 6,150.76

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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.