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Finding the Fourth Proportional to 4,578.50, 6,868.16 and 2,497.61

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Solution

The fourth proportional to 4,578.50, 6,868.16 and 2,497.61 is: 3,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.50 : 6,868.16 = 2,497.61 : x
  2. Step 2: Convert to fraction form
    4,578.50/6,868.16 = 2,497.61/x
  3. Step 3: Cross multiply
    4,578.50x = 6,868.16 × 2,497.61
  4. Step 4: Simplify right side
    4,578.50x = 17,153,999.15
  5. Step 5: Solve for x
    x = 17,153,999.15/4,578.50
  6. Step 6: Final answer
    x = 3,746.64

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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.