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Finding the Fourth Proportional to 5,814.96, 8,722.80 and 2,117.52

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Solution

The fourth proportional to 5,814.96, 8,722.80 and 2,117.52 is: 3,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.96 : 8,722.80 = 2,117.52 : x
  2. Step 2: Convert to fraction form
    5,814.96/8,722.80 = 2,117.52/x
  3. Step 3: Cross multiply
    5,814.96x = 8,722.80 × 2,117.52
  4. Step 4: Simplify right side
    5,814.96x = 18,470,703.46
  5. Step 5: Solve for x
    x = 18,470,703.46/5,814.96
  6. Step 6: Final answer
    x = 3,176.41

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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.