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Finding the Fourth Proportional to 4,662.97, 6,994.60 and 1,543.15

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Solution

The fourth proportional to 4,662.97, 6,994.60 and 1,543.15 is: 2,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.97 : 6,994.60 = 1,543.15 : x
  2. Step 2: Convert to fraction form
    4,662.97/6,994.60 = 1,543.15/x
  3. Step 3: Cross multiply
    4,662.97x = 6,994.60 × 1,543.15
  4. Step 4: Simplify right side
    4,662.97x = 10,793,695.65
  5. Step 5: Solve for x
    x = 10,793,695.65/4,662.97
  6. Step 6: Final answer
    x = 2,314.77

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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.