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Finding the Fourth Proportional to 4,570.46, 6,306.93 and 2,581.10

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Solution

The fourth proportional to 4,570.46, 6,306.93 and 2,581.10 is: 3,561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.46 : 6,306.93 = 2,581.10 : x
  2. Step 2: Convert to fraction form
    4,570.46/6,306.93 = 2,581.10/x
  3. Step 3: Cross multiply
    4,570.46x = 6,306.93 × 2,581.10
  4. Step 4: Simplify right side
    4,570.46x = 16,278,817.02
  5. Step 5: Solve for x
    x = 16,278,817.02/4,570.46
  6. Step 6: Final answer
    x = 3,561.75

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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.