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Finding the Fourth Proportional to 3,589.71, 4,954.59 and 2,265.21

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Solution

The fourth proportional to 3,589.71, 4,954.59 and 2,265.21 is: 3,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.71 : 4,954.59 = 2,265.21 : x
  2. Step 2: Convert to fraction form
    3,589.71/4,954.59 = 2,265.21/x
  3. Step 3: Cross multiply
    3,589.71x = 4,954.59 × 2,265.21
  4. Step 4: Simplify right side
    3,589.71x = 11,223,186.81
  5. Step 5: Solve for x
    x = 11,223,186.81/3,589.71
  6. Step 6: Final answer
    x = 3,126.49

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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.