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Finding the Fourth Proportional to 5,971.88, 8,952.69 and 2,075.78

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Solution

The fourth proportional to 5,971.88, 8,952.69 and 2,075.78 is: 3,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.88 : 8,952.69 = 2,075.78 : x
  2. Step 2: Convert to fraction form
    5,971.88/8,952.69 = 2,075.78/x
  3. Step 3: Cross multiply
    5,971.88x = 8,952.69 × 2,075.78
  4. Step 4: Simplify right side
    5,971.88x = 18,583,814.85
  5. Step 5: Solve for x
    x = 18,583,814.85/5,971.88
  6. Step 6: Final answer
    x = 3,111.89

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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.