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Finding the Fourth Proportional to 3,718.38, 5,578.35 and 1,527.09

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Solution

The fourth proportional to 3,718.38, 5,578.35 and 1,527.09 is: 2,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.38 : 5,578.35 = 1,527.09 : x
  2. Step 2: Convert to fraction form
    3,718.38/5,578.35 = 1,527.09/x
  3. Step 3: Cross multiply
    3,718.38x = 5,578.35 × 1,527.09
  4. Step 4: Simplify right side
    3,718.38x = 8,518,642.50
  5. Step 5: Solve for x
    x = 8,518,642.50/3,718.38
  6. Step 6: Final answer
    x = 2,290.96

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Why These Related Problems?

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