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Finding the Fourth Proportional to 4,835.86, 7,255.28 and 4,275.45

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Solution

The fourth proportional to 4,835.86, 7,255.28 and 4,275.45 is: 6,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.86 : 7,255.28 = 4,275.45 : x
  2. Step 2: Convert to fraction form
    4,835.86/7,255.28 = 4,275.45/x
  3. Step 3: Cross multiply
    4,835.86x = 7,255.28 × 4,275.45
  4. Step 4: Simplify right side
    4,835.86x = 31,019,586.88
  5. Step 5: Solve for x
    x = 31,019,586.88/4,835.86
  6. Step 6: Final answer
    x = 6,414.49

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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.