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Finding the Fourth Proportional to 5,045.76, 7,568.46 and 2,448

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Solution

The fourth proportional to 5,045.76, 7,568.46 and 2,448 is: 3,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045.76 : 7,568.46 = 2,448 : x
  2. Step 2: Convert to fraction form
    5,045.76/7,568.46 = 2,448/x
  3. Step 3: Cross multiply
    5,045.76x = 7,568.46 × 2,448
  4. Step 4: Simplify right side
    5,045.76x = 18,527,590.08
  5. Step 5: Solve for x
    x = 18,527,590.08/5,045.76
  6. Step 6: Final answer
    x = 3,671.91

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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.