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Finding the Fourth Proportional to 5,256.57, 7,254.59 and 3,927.97

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Solution

The fourth proportional to 5,256.57, 7,254.59 and 3,927.97 is: 5,420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.57 : 7,254.59 = 3,927.97 : x
  2. Step 2: Convert to fraction form
    5,256.57/7,254.59 = 3,927.97/x
  3. Step 3: Cross multiply
    5,256.57x = 7,254.59 × 3,927.97
  4. Step 4: Simplify right side
    5,256.57x = 28,495,801.31
  5. Step 5: Solve for x
    x = 28,495,801.31/5,256.57
  6. Step 6: Final answer
    x = 5,420.98

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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.