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Finding the Fourth Proportional to 4,837.85, 7,256.79 and 1,375.10

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Solution

The fourth proportional to 4,837.85, 7,256.79 and 1,375.10 is: 2,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837.85 : 7,256.79 = 1,375.10 : x
  2. Step 2: Convert to fraction form
    4,837.85/7,256.79 = 1,375.10/x
  3. Step 3: Cross multiply
    4,837.85x = 7,256.79 × 1,375.10
  4. Step 4: Simplify right side
    4,837.85x = 9,978,823.27
  5. Step 5: Solve for x
    x = 9,978,823.27/4,837.85
  6. Step 6: Final answer
    x = 2,062.66

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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.