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Finding the Fourth Proportional to 5,255.66, 7,252.86 and 2,897.88

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Solution

The fourth proportional to 5,255.66, 7,252.86 and 2,897.88 is: 3,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.66 : 7,252.86 = 2,897.88 : x
  2. Step 2: Convert to fraction form
    5,255.66/7,252.86 = 2,897.88/x
  3. Step 3: Cross multiply
    5,255.66x = 7,252.86 × 2,897.88
  4. Step 4: Simplify right side
    5,255.66x = 21,017,917.94
  5. Step 5: Solve for x
    x = 21,017,917.94/5,255.66
  6. Step 6: Final answer
    x = 3,999.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.