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Finding the Fourth Proportional to 3,637, 5,017.38 and 2,589.64

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Solution

The fourth proportional to 3,637, 5,017.38 and 2,589.64 is: 3,572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637 : 5,017.38 = 2,589.64 : x
  2. Step 2: Convert to fraction form
    3,637/5,017.38 = 2,589.64/x
  3. Step 3: Cross multiply
    3,637x = 5,017.38 × 2,589.64
  4. Step 4: Simplify right side
    3,637x = 12,993,207.94
  5. Step 5: Solve for x
    x = 12,993,207.94/3,637
  6. Step 6: Final answer
    x = 3,572.51

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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.