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Finding the Fourth Proportional to 4,617.33, 6,377.93 and 3,736.46

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Solution

The fourth proportional to 4,617.33, 6,377.93 and 3,736.46 is: 5,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.33 : 6,377.93 = 3,736.46 : x
  2. Step 2: Convert to fraction form
    4,617.33/6,377.93 = 3,736.46/x
  3. Step 3: Cross multiply
    4,617.33x = 6,377.93 × 3,736.46
  4. Step 4: Simplify right side
    4,617.33x = 23,830,829.76
  5. Step 5: Solve for x
    x = 23,830,829.76/4,617.33
  6. Step 6: Final answer
    x = 5,161.17

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