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Finding the Fourth Proportional to 4,407.78, 6,082.74 and 2,418.42

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Solution

The fourth proportional to 4,407.78, 6,082.74 and 2,418.42 is: 3,337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.78 : 6,082.74 = 2,418.42 : x
  2. Step 2: Convert to fraction form
    4,407.78/6,082.74 = 2,418.42/x
  3. Step 3: Cross multiply
    4,407.78x = 6,082.74 × 2,418.42
  4. Step 4: Simplify right side
    4,407.78x = 14,710,620.07
  5. Step 5: Solve for x
    x = 14,710,620.07/4,407.78
  6. Step 6: Final answer
    x = 3,337.42

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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.