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Finding the Fourth Proportional to 3,574.11, 4,931.64 and 2,157.42

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Solution

The fourth proportional to 3,574.11, 4,931.64 and 2,157.42 is: 2,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.11 : 4,931.64 = 2,157.42 : x
  2. Step 2: Convert to fraction form
    3,574.11/4,931.64 = 2,157.42/x
  3. Step 3: Cross multiply
    3,574.11x = 4,931.64 × 2,157.42
  4. Step 4: Simplify right side
    3,574.11x = 10,639,618.77
  5. Step 5: Solve for x
    x = 10,639,618.77/3,574.11
  6. Step 6: Final answer
    x = 2,976.86

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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.