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Finding the Fourth Proportional to 6,029.76, 8,305.62 and 4,258.24

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Solution

The fourth proportional to 6,029.76, 8,305.62 and 4,258.24 is: 5,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.76 : 8,305.62 = 4,258.24 : x
  2. Step 2: Convert to fraction form
    6,029.76/8,305.62 = 4,258.24/x
  3. Step 3: Cross multiply
    6,029.76x = 8,305.62 × 4,258.24
  4. Step 4: Simplify right side
    6,029.76x = 35,367,323.31
  5. Step 5: Solve for x
    x = 35,367,323.31/6,029.76
  6. Step 6: Final answer
    x = 5,865.46

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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.