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Finding the Fourth Proportional to 5,952.30, 8,922.33 and 4,005.06

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Solution

The fourth proportional to 5,952.30, 8,922.33 and 4,005.06 is: 6,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.30 : 8,922.33 = 4,005.06 : x
  2. Step 2: Convert to fraction form
    5,952.30/8,922.33 = 4,005.06/x
  3. Step 3: Cross multiply
    5,952.30x = 8,922.33 × 4,005.06
  4. Step 4: Simplify right side
    5,952.30x = 35,734,466.99
  5. Step 5: Solve for x
    x = 35,734,466.99/5,952.30
  6. Step 6: Final answer
    x = 6,003.47

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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.