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Finding the Fourth Proportional to 5,283.84, 7,924.32 and 1,822.08

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Solution

The fourth proportional to 5,283.84, 7,924.32 and 1,822.08 is: 2,732.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.84 : 7,924.32 = 1,822.08 : x
  2. Step 2: Convert to fraction form
    5,283.84/7,924.32 = 1,822.08/x
  3. Step 3: Cross multiply
    5,283.84x = 7,924.32 × 1,822.08
  4. Step 4: Simplify right side
    5,283.84x = 14,438,744.99
  5. Step 5: Solve for x
    x = 14,438,744.99/5,283.84
  6. Step 6: Final answer
    x = 2,732.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.