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Finding the Fourth Proportional to 5,410.91, 8,117.04 and 1,711.80

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Solution

The fourth proportional to 5,410.91, 8,117.04 and 1,711.80 is: 2,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.91 : 8,117.04 = 1,711.80 : x
  2. Step 2: Convert to fraction form
    5,410.91/8,117.04 = 1,711.80/x
  3. Step 3: Cross multiply
    5,410.91x = 8,117.04 × 1,711.80
  4. Step 4: Simplify right side
    5,410.91x = 13,894,733.06
  5. Step 5: Solve for x
    x = 13,894,733.06/5,410.91
  6. Step 6: Final answer
    x = 2,567.91

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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.