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Finding the Fourth Proportional to 3,416.70, 5,117.76 and 2,114.22

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Solution

The fourth proportional to 3,416.70, 5,117.76 and 2,114.22 is: 3,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.70 : 5,117.76 = 2,114.22 : x
  2. Step 2: Convert to fraction form
    3,416.70/5,117.76 = 2,114.22/x
  3. Step 3: Cross multiply
    3,416.70x = 5,117.76 × 2,114.22
  4. Step 4: Simplify right side
    3,416.70x = 10,820,070.55
  5. Step 5: Solve for x
    x = 10,820,070.55/3,416.70
  6. Step 6: Final answer
    x = 3,166.82

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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.