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Finding the Fourth Proportional to 4,293.36, 6,402.50 and 4,254.48

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Solution

The fourth proportional to 4,293.36, 6,402.50 and 4,254.48 is: 6,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.36 : 6,402.50 = 4,254.48 : x
  2. Step 2: Convert to fraction form
    4,293.36/6,402.50 = 4,254.48/x
  3. Step 3: Cross multiply
    4,293.36x = 6,402.50 × 4,254.48
  4. Step 4: Simplify right side
    4,293.36x = 27,239,308.20
  5. Step 5: Solve for x
    x = 27,239,308.20/4,293.36
  6. Step 6: Final answer
    x = 6,344.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.