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Finding the Fourth Proportional to 3,522.05, 5,282.73 and 924.99

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Solution

The fourth proportional to 3,522.05, 5,282.73 and 924.99 is: 1,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.05 : 5,282.73 = 924.99 : x
  2. Step 2: Convert to fraction form
    3,522.05/5,282.73 = 924.99/x
  3. Step 3: Cross multiply
    3,522.05x = 5,282.73 × 924.99
  4. Step 4: Simplify right side
    3,522.05x = 4,886,472.42
  5. Step 5: Solve for x
    x = 4,886,472.42/3,522.05
  6. Step 6: Final answer
    x = 1,387.39

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