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Finding the Fourth Proportional to 3,574.96, 4,933.50 and 2,158.72

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Solution

The fourth proportional to 3,574.96, 4,933.50 and 2,158.72 is: 2,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.96 : 4,933.50 = 2,158.72 : x
  2. Step 2: Convert to fraction form
    3,574.96/4,933.50 = 2,158.72/x
  3. Step 3: Cross multiply
    3,574.96x = 4,933.50 × 2,158.72
  4. Step 4: Simplify right side
    3,574.96x = 10,650,045.12
  5. Step 5: Solve for x
    x = 10,650,045.12/3,574.96
  6. Step 6: Final answer
    x = 2,979.07

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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.