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Finding the Fourth Proportional to 4,205.78, 5,802.19 and 2,436.74

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Solution

The fourth proportional to 4,205.78, 5,802.19 and 2,436.74 is: 3,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.78 : 5,802.19 = 2,436.74 : x
  2. Step 2: Convert to fraction form
    4,205.78/5,802.19 = 2,436.74/x
  3. Step 3: Cross multiply
    4,205.78x = 5,802.19 × 2,436.74
  4. Step 4: Simplify right side
    4,205.78x = 14,138,393.36
  5. Step 5: Solve for x
    x = 14,138,393.36/4,205.78
  6. Step 6: Final answer
    x = 3,361.66

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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.