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Finding the Fourth Proportional to 5,301.78, 7,952.67 and 1,839.06

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Solution

The fourth proportional to 5,301.78, 7,952.67 and 1,839.06 is: 2,758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.78 : 7,952.67 = 1,839.06 : x
  2. Step 2: Convert to fraction form
    5,301.78/7,952.67 = 1,839.06/x
  3. Step 3: Cross multiply
    5,301.78x = 7,952.67 × 1,839.06
  4. Step 4: Simplify right side
    5,301.78x = 14,625,437.29
  5. Step 5: Solve for x
    x = 14,625,437.29/5,301.78
  6. Step 6: Final answer
    x = 2,758.59

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1.5x scale

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.