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Finding the Fourth Proportional to 3,454.62, 4,767.36 and 2,038.32

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Solution

The fourth proportional to 3,454.62, 4,767.36 and 2,038.32 is: 2,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.62 : 4,767.36 = 2,038.32 : x
  2. Step 2: Convert to fraction form
    3,454.62/4,767.36 = 2,038.32/x
  3. Step 3: Cross multiply
    3,454.62x = 4,767.36 × 2,038.32
  4. Step 4: Simplify right side
    3,454.62x = 9,717,405.24
  5. Step 5: Solve for x
    x = 9,717,405.24/3,454.62
  6. Step 6: Final answer
    x = 2,812.87

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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.