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Finding the Fourth Proportional to 4,917.84, 6,815.90 and 4,825.68

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Solution

The fourth proportional to 4,917.84, 6,815.90 and 4,825.68 is: 6,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.84 : 6,815.90 = 4,825.68 : x
  2. Step 2: Convert to fraction form
    4,917.84/6,815.90 = 4,825.68/x
  3. Step 3: Cross multiply
    4,917.84x = 6,815.90 × 4,825.68
  4. Step 4: Simplify right side
    4,917.84x = 32,891,352.31
  5. Step 5: Solve for x
    x = 32,891,352.31/4,917.84
  6. Step 6: Final answer
    x = 6,688.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.