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Finding the Fourth Proportional to 4,249.64, 5,856.54 and 3,068.66

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Solution

The fourth proportional to 4,249.64, 5,856.54 and 3,068.66 is: 4,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.64 : 5,856.54 = 3,068.66 : x
  2. Step 2: Convert to fraction form
    4,249.64/5,856.54 = 3,068.66/x
  3. Step 3: Cross multiply
    4,249.64x = 5,856.54 × 3,068.66
  4. Step 4: Simplify right side
    4,249.64x = 17,971,730.04
  5. Step 5: Solve for x
    x = 17,971,730.04/4,249.64
  6. Step 6: Final answer
    x = 4,229.00

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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.