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Finding the Fourth Proportional to 5,904.82, 8,857.74 and 1,522.24

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Solution

The fourth proportional to 5,904.82, 8,857.74 and 1,522.24 is: 2,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.82 : 8,857.74 = 1,522.24 : x
  2. Step 2: Convert to fraction form
    5,904.82/8,857.74 = 1,522.24/x
  3. Step 3: Cross multiply
    5,904.82x = 8,857.74 × 1,522.24
  4. Step 4: Simplify right side
    5,904.82x = 13,483,606.14
  5. Step 5: Solve for x
    x = 13,483,606.14/5,904.82
  6. Step 6: Final answer
    x = 2,283.49

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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.