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Finding the Fourth Proportional to 3,838.64, 5,759.04 and 1,373.81

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Solution

The fourth proportional to 3,838.64, 5,759.04 and 1,373.81 is: 2,061.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.64 : 5,759.04 = 1,373.81 : x
  2. Step 2: Convert to fraction form
    3,838.64/5,759.04 = 1,373.81/x
  3. Step 3: Cross multiply
    3,838.64x = 5,759.04 × 1,373.81
  4. Step 4: Simplify right side
    3,838.64x = 7,911,826.74
  5. Step 5: Solve for x
    x = 7,911,826.74/3,838.64
  6. Step 6: Final answer
    x = 2,061.10

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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.