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Finding the Fourth Proportional to 3,574.22, 4,932.15 and 2,002.10

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Solution

The fourth proportional to 3,574.22, 4,932.15 and 2,002.10 is: 2,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.22 : 4,932.15 = 2,002.10 : x
  2. Step 2: Convert to fraction form
    3,574.22/4,932.15 = 2,002.10/x
  3. Step 3: Cross multiply
    3,574.22x = 4,932.15 × 2,002.10
  4. Step 4: Simplify right side
    3,574.22x = 9,874,657.52
  5. Step 5: Solve for x
    x = 9,874,657.52/3,574.22
  6. Step 6: Final answer
    x = 2,762.74

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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.