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Finding the Fourth Proportional to 4,049.64, 5,574.22 and 2,928.76

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Solution

The fourth proportional to 4,049.64, 5,574.22 and 2,928.76 is: 4,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.64 : 5,574.22 = 2,928.76 : x
  2. Step 2: Convert to fraction form
    4,049.64/5,574.22 = 2,928.76/x
  3. Step 3: Cross multiply
    4,049.64x = 5,574.22 × 2,928.76
  4. Step 4: Simplify right side
    4,049.64x = 16,325,552.57
  5. Step 5: Solve for x
    x = 16,325,552.57/4,049.64
  6. Step 6: Final answer
    x = 4,031.36

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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.