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Finding the Fourth Proportional to 4,061.42, 6,092.13 and 1,528.99

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Solution

The fourth proportional to 4,061.42, 6,092.13 and 1,528.99 is: 2,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.42 : 6,092.13 = 1,528.99 : x
  2. Step 2: Convert to fraction form
    4,061.42/6,092.13 = 1,528.99/x
  3. Step 3: Cross multiply
    4,061.42x = 6,092.13 × 1,528.99
  4. Step 4: Simplify right side
    4,061.42x = 9,314,805.85
  5. Step 5: Solve for x
    x = 9,314,805.85/4,061.42
  6. Step 6: Final answer
    x = 2,293.49

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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.