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Finding the Fourth Proportional to 3,589.84, 4,956.42 and 2,645.74

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Solution

The fourth proportional to 3,589.84, 4,956.42 and 2,645.74 is: 3,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.84 : 4,956.42 = 2,645.74 : x
  2. Step 2: Convert to fraction form
    3,589.84/4,956.42 = 2,645.74/x
  3. Step 3: Cross multiply
    3,589.84x = 4,956.42 × 2,645.74
  4. Step 4: Simplify right side
    3,589.84x = 13,113,398.65
  5. Step 5: Solve for x
    x = 13,113,398.65/3,589.84
  6. Step 6: Final answer
    x = 3,652.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.