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Finding the Fourth Proportional to 3,698.62, 5,543.06 and 2,054.32

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Solution

The fourth proportional to 3,698.62, 5,543.06 and 2,054.32 is: 3,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.62 : 5,543.06 = 2,054.32 : x
  2. Step 2: Convert to fraction form
    3,698.62/5,543.06 = 2,054.32/x
  3. Step 3: Cross multiply
    3,698.62x = 5,543.06 × 2,054.32
  4. Step 4: Simplify right side
    3,698.62x = 11,387,219.02
  5. Step 5: Solve for x
    x = 11,387,219.02/3,698.62
  6. Step 6: Final answer
    x = 3,078.78

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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.