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Finding the Fourth Proportional to 4,659.58, 6,990.66 and 2,063.14

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Solution

The fourth proportional to 4,659.58, 6,990.66 and 2,063.14 is: 3,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.58 : 6,990.66 = 2,063.14 : x
  2. Step 2: Convert to fraction form
    4,659.58/6,990.66 = 2,063.14/x
  3. Step 3: Cross multiply
    4,659.58x = 6,990.66 × 2,063.14
  4. Step 4: Simplify right side
    4,659.58x = 14,422,710.27
  5. Step 5: Solve for x
    x = 14,422,710.27/4,659.58
  6. Step 6: Final answer
    x = 3,095.28

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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.