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Finding the Fourth Proportional to 5,256.77, 7,254.86 and 3,928.17

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Solution

The fourth proportional to 5,256.77, 7,254.86 and 3,928.17 is: 5,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.77 : 7,254.86 = 3,928.17 : x
  2. Step 2: Convert to fraction form
    5,256.77/7,254.86 = 3,928.17/x
  3. Step 3: Cross multiply
    5,256.77x = 7,254.86 × 3,928.17
  4. Step 4: Simplify right side
    5,256.77x = 28,498,333.23
  5. Step 5: Solve for x
    x = 28,498,333.23/5,256.77
  6. Step 6: Final answer
    x = 5,421.26

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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.