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Finding the Fourth Proportional to 4,315.70, 5,954.13 and 2,546.42

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Solution

The fourth proportional to 4,315.70, 5,954.13 and 2,546.42 is: 3,513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.70 : 5,954.13 = 2,546.42 : x
  2. Step 2: Convert to fraction form
    4,315.70/5,954.13 = 2,546.42/x
  3. Step 3: Cross multiply
    4,315.70x = 5,954.13 × 2,546.42
  4. Step 4: Simplify right side
    4,315.70x = 15,161,715.71
  5. Step 5: Solve for x
    x = 15,161,715.71/4,315.70
  6. Step 6: Final answer
    x = 3,513.15

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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.