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Finding the Fourth Proportional to 4,574.42, 6,863.16 and 1,454.96

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Solution

The fourth proportional to 4,574.42, 6,863.16 and 1,454.96 is: 2,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.42 : 6,863.16 = 1,454.96 : x
  2. Step 2: Convert to fraction form
    4,574.42/6,863.16 = 1,454.96/x
  3. Step 3: Cross multiply
    4,574.42x = 6,863.16 × 1,454.96
  4. Step 4: Simplify right side
    4,574.42x = 9,985,623.27
  5. Step 5: Solve for x
    x = 9,985,623.27/4,574.42
  6. Step 6: Final answer
    x = 2,182.93

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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.