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Finding the Fourth Proportional to 4,218, 5,820.78 and 2,450.60

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Solution

The fourth proportional to 4,218, 5,820.78 and 2,450.60 is: 3,381.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218 : 5,820.78 = 2,450.60 : x
  2. Step 2: Convert to fraction form
    4,218/5,820.78 = 2,450.60/x
  3. Step 3: Cross multiply
    4,218x = 5,820.78 × 2,450.60
  4. Step 4: Simplify right side
    4,218x = 14,264,403.47
  5. Step 5: Solve for x
    x = 14,264,403.47/4,218
  6. Step 6: Final answer
    x = 3,381.79

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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.