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Finding the Fourth Proportional to 4,660.90, 6,994.86 and 2,470.12

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Solution

The fourth proportional to 4,660.90, 6,994.86 and 2,470.12 is: 3,707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.90 : 6,994.86 = 2,470.12 : x
  2. Step 2: Convert to fraction form
    4,660.90/6,994.86 = 2,470.12/x
  3. Step 3: Cross multiply
    4,660.90x = 6,994.86 × 2,470.12
  4. Step 4: Simplify right side
    4,660.90x = 17,278,143.58
  5. Step 5: Solve for x
    x = 17,278,143.58/4,660.90
  6. Step 6: Final answer
    x = 3,707.04

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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.