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Finding the Fourth Proportional to 5,265.42, 7,266.33 and 2,907.63

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Solution

The fourth proportional to 5,265.42, 7,266.33 and 2,907.63 is: 4,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.42 : 7,266.33 = 2,907.63 : x
  2. Step 2: Convert to fraction form
    5,265.42/7,266.33 = 2,907.63/x
  3. Step 3: Cross multiply
    5,265.42x = 7,266.33 × 2,907.63
  4. Step 4: Simplify right side
    5,265.42x = 21,127,799.10
  5. Step 5: Solve for x
    x = 21,127,799.10/5,265.42
  6. Step 6: Final answer
    x = 4,012.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.