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Finding the Fourth Proportional to 3,365.64, 5,049.02 and 1,057

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Solution

The fourth proportional to 3,365.64, 5,049.02 and 1,057 is: 1,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.64 : 5,049.02 = 1,057 : x
  2. Step 2: Convert to fraction form
    3,365.64/5,049.02 = 1,057/x
  3. Step 3: Cross multiply
    3,365.64x = 5,049.02 × 1,057
  4. Step 4: Simplify right side
    3,365.64x = 5,336,814.14
  5. Step 5: Solve for x
    x = 5,336,814.14/3,365.64
  6. Step 6: Final answer
    x = 1,585.68

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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.