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Finding the Fourth Proportional to 4,114.99, 6,200.71 and 3,400.57

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Solution

The fourth proportional to 4,114.99, 6,200.71 and 3,400.57 is: 5,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.99 : 6,200.71 = 3,400.57 : x
  2. Step 2: Convert to fraction form
    4,114.99/6,200.71 = 3,400.57/x
  3. Step 3: Cross multiply
    4,114.99x = 6,200.71 × 3,400.57
  4. Step 4: Simplify right side
    4,114.99x = 21,085,948.40
  5. Step 5: Solve for x
    x = 21,085,948.40/4,114.99
  6. Step 6: Final answer
    x = 5,124.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.