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Finding the Fourth Proportional to 5,063.78, 7,595.40 and 1,365.96

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Solution

The fourth proportional to 5,063.78, 7,595.40 and 1,365.96 is: 2,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.78 : 7,595.40 = 1,365.96 : x
  2. Step 2: Convert to fraction form
    5,063.78/7,595.40 = 1,365.96/x
  3. Step 3: Cross multiply
    5,063.78x = 7,595.40 × 1,365.96
  4. Step 4: Simplify right side
    5,063.78x = 10,375,012.58
  5. Step 5: Solve for x
    x = 10,375,012.58/5,063.78
  6. Step 6: Final answer
    x = 2,048.87

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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.