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Finding the Fourth Proportional to 4,085.62, 5,637.16 and 2,593

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Solution

The fourth proportional to 4,085.62, 5,637.16 and 2,593 is: 3,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085.62 : 5,637.16 = 2,593 : x
  2. Step 2: Convert to fraction form
    4,085.62/5,637.16 = 2,593/x
  3. Step 3: Cross multiply
    4,085.62x = 5,637.16 × 2,593
  4. Step 4: Simplify right side
    4,085.62x = 14,617,155.88
  5. Step 5: Solve for x
    x = 14,617,155.88/4,085.62
  6. Step 6: Final answer
    x = 3,577.71

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