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Finding the Fourth Proportional to 4,589.66, 6,891.51 and 4,046.42

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Solution

The fourth proportional to 4,589.66, 6,891.51 and 4,046.42 is: 6,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.66 : 6,891.51 = 4,046.42 : x
  2. Step 2: Convert to fraction form
    4,589.66/6,891.51 = 4,046.42/x
  3. Step 3: Cross multiply
    4,589.66x = 6,891.51 × 4,046.42
  4. Step 4: Simplify right side
    4,589.66x = 27,885,943.89
  5. Step 5: Solve for x
    x = 27,885,943.89/4,589.66
  6. Step 6: Final answer
    x = 6,075.82

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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.