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Finding the Fourth Proportional to 9,057.44, 13,583.28 and 2,900

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Solution

The fourth proportional to 9,057.44, 13,583.28 and 2,900 is: 4,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.44 : 13,583.28 = 2,900 : x
  2. Step 2: Convert to fraction form
    9,057.44/13,583.28 = 2,900/x
  3. Step 3: Cross multiply
    9,057.44x = 13,583.28 × 2,900
  4. Step 4: Simplify right side
    9,057.44x = 39,391,512
  5. Step 5: Solve for x
    x = 39,391,512/9,057.44
  6. Step 6: Final answer
    x = 4,349.08

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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.