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Finding the Fourth Proportional to 5,265.42, 7,266.48 and 2,907.48

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Solution

The fourth proportional to 5,265.42, 7,266.48 and 2,907.48 is: 4,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.42 : 7,266.48 = 2,907.48 : x
  2. Step 2: Convert to fraction form
    5,265.42/7,266.48 = 2,907.48/x
  3. Step 3: Cross multiply
    5,265.42x = 7,266.48 × 2,907.48
  4. Step 4: Simplify right side
    5,265.42x = 21,127,145.27
  5. Step 5: Solve for x
    x = 21,127,145.27/5,265.42
  6. Step 6: Final answer
    x = 4,012.43

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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.