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Finding the Fourth Proportional to 3,544.89, 5,315.70 and 1,079.16

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Solution

The fourth proportional to 3,544.89, 5,315.70 and 1,079.16 is: 1,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.89 : 5,315.70 = 1,079.16 : x
  2. Step 2: Convert to fraction form
    3,544.89/5,315.70 = 1,079.16/x
  3. Step 3: Cross multiply
    3,544.89x = 5,315.70 × 1,079.16
  4. Step 4: Simplify right side
    3,544.89x = 5,736,490.81
  5. Step 5: Solve for x
    x = 5,736,490.81/3,544.89
  6. Step 6: Final answer
    x = 1,618.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.