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Finding the Fourth Proportional to 4,920.84, 6,790.32 and 2,824.56

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Solution

The fourth proportional to 4,920.84, 6,790.32 and 2,824.56 is: 3,897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.84 : 6,790.32 = 2,824.56 : x
  2. Step 2: Convert to fraction form
    4,920.84/6,790.32 = 2,824.56/x
  3. Step 3: Cross multiply
    4,920.84x = 6,790.32 × 2,824.56
  4. Step 4: Simplify right side
    4,920.84x = 19,179,666.26
  5. Step 5: Solve for x
    x = 19,179,666.26/4,920.84
  6. Step 6: Final answer
    x = 3,897.64

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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.