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Finding the Fourth Proportional to 3,574.32, 4,932.48 and 2,002.56

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Solution

The fourth proportional to 3,574.32, 4,932.48 and 2,002.56 is: 2,763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.32 : 4,932.48 = 2,002.56 : x
  2. Step 2: Convert to fraction form
    3,574.32/4,932.48 = 2,002.56/x
  3. Step 3: Cross multiply
    3,574.32x = 4,932.48 × 2,002.56
  4. Step 4: Simplify right side
    3,574.32x = 9,877,587.15
  5. Step 5: Solve for x
    x = 9,877,587.15/3,574.32
  6. Step 6: Final answer
    x = 2,763.49

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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.