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Finding the Fourth Proportional to 4,659.46, 6,988.41 and 3,873.83

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Solution

The fourth proportional to 4,659.46, 6,988.41 and 3,873.83 is: 5,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.46 : 6,988.41 = 3,873.83 : x
  2. Step 2: Convert to fraction form
    4,659.46/6,988.41 = 3,873.83/x
  3. Step 3: Cross multiply
    4,659.46x = 6,988.41 × 3,873.83
  4. Step 4: Simplify right side
    4,659.46x = 27,071,877.37
  5. Step 5: Solve for x
    x = 27,071,877.37/4,659.46
  6. Step 6: Final answer
    x = 5,810.09

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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.