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Finding the Fourth Proportional to 4,659.24, 6,986.70 and 1,883.72

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Solution

The fourth proportional to 4,659.24, 6,986.70 and 1,883.72 is: 2,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.24 : 6,986.70 = 1,883.72 : x
  2. Step 2: Convert to fraction form
    4,659.24/6,986.70 = 1,883.72/x
  3. Step 3: Cross multiply
    4,659.24x = 6,986.70 × 1,883.72
  4. Step 4: Simplify right side
    4,659.24x = 13,160,986.52
  5. Step 5: Solve for x
    x = 13,160,986.52/4,659.24
  6. Step 6: Final answer
    x = 2,824.71

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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.