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Finding the Fourth Proportional to 4,920.40, 6,790.84 and 2,824.16

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Solution

The fourth proportional to 4,920.40, 6,790.84 and 2,824.16 is: 3,897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.40 : 6,790.84 = 2,824.16 : x
  2. Step 2: Convert to fraction form
    4,920.40/6,790.84 = 2,824.16/x
  3. Step 3: Cross multiply
    4,920.40x = 6,790.84 × 2,824.16
  4. Step 4: Simplify right side
    4,920.40x = 19,178,418.69
  5. Step 5: Solve for x
    x = 19,178,418.69/4,920.40
  6. Step 6: Final answer
    x = 3,897.74

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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.