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Finding the Fourth Proportional to 6,199.95, 8,544.38 and 4,210.59

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Solution

The fourth proportional to 6,199.95, 8,544.38 and 4,210.59 is: 5,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.95 : 8,544.38 = 4,210.59 : x
  2. Step 2: Convert to fraction form
    6,199.95/8,544.38 = 4,210.59/x
  3. Step 3: Cross multiply
    6,199.95x = 8,544.38 × 4,210.59
  4. Step 4: Simplify right side
    6,199.95x = 35,976,859.93
  5. Step 5: Solve for x
    x = 35,976,859.93/6,199.95
  6. Step 6: Final answer
    x = 5,802.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.