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Finding the Fourth Proportional to 5,876.47, 8,813.70 and 1,660.02

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Solution

The fourth proportional to 5,876.47, 8,813.70 and 1,660.02 is: 2,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.47 : 8,813.70 = 1,660.02 : x
  2. Step 2: Convert to fraction form
    5,876.47/8,813.70 = 1,660.02/x
  3. Step 3: Cross multiply
    5,876.47x = 8,813.70 × 1,660.02
  4. Step 4: Simplify right side
    5,876.47x = 14,630,914.68
  5. Step 5: Solve for x
    x = 14,630,914.68/5,876.47
  6. Step 6: Final answer
    x = 2,489.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.