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Finding the Fourth Proportional to 4,617.86, 6,927.18 and 1,696.18

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Solution

The fourth proportional to 4,617.86, 6,927.18 and 1,696.18 is: 2,544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.86 : 6,927.18 = 1,696.18 : x
  2. Step 2: Convert to fraction form
    4,617.86/6,927.18 = 1,696.18/x
  3. Step 3: Cross multiply
    4,617.86x = 6,927.18 × 1,696.18
  4. Step 4: Simplify right side
    4,617.86x = 11,749,744.17
  5. Step 5: Solve for x
    x = 11,749,744.17/4,617.86
  6. Step 6: Final answer
    x = 2,544.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.