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Finding the Fourth Proportional to 3,574.02, 4,932.17 and 2,002.11

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Solution

The fourth proportional to 3,574.02, 4,932.17 and 2,002.11 is: 2,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.02 : 4,932.17 = 2,002.11 : x
  2. Step 2: Convert to fraction form
    3,574.02/4,932.17 = 2,002.11/x
  3. Step 3: Cross multiply
    3,574.02x = 4,932.17 × 2,002.11
  4. Step 4: Simplify right side
    3,574.02x = 9,874,746.88
  5. Step 5: Solve for x
    x = 9,874,746.88/3,574.02
  6. Step 6: Final answer
    x = 2,762.92

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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.