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Finding the Fourth Proportional to 4,574.64, 6,861.90 and 1,111.92

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Solution

The fourth proportional to 4,574.64, 6,861.90 and 1,111.92 is: 1,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.64 : 6,861.90 = 1,111.92 : x
  2. Step 2: Convert to fraction form
    4,574.64/6,861.90 = 1,111.92/x
  3. Step 3: Cross multiply
    4,574.64x = 6,861.90 × 1,111.92
  4. Step 4: Simplify right side
    4,574.64x = 7,629,883.85
  5. Step 5: Solve for x
    x = 7,629,883.85/4,574.64
  6. Step 6: Final answer
    x = 1,667.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.