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Finding the Fourth Proportional to 3,838.56, 5,758.56 and 1,530.08

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Solution

The fourth proportional to 3,838.56, 5,758.56 and 1,530.08 is: 2,295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.56 : 5,758.56 = 1,530.08 : x
  2. Step 2: Convert to fraction form
    3,838.56/5,758.56 = 1,530.08/x
  3. Step 3: Cross multiply
    3,838.56x = 5,758.56 × 1,530.08
  4. Step 4: Simplify right side
    3,838.56x = 8,811,057.48
  5. Step 5: Solve for x
    x = 8,811,057.48/3,838.56
  6. Step 6: Final answer
    x = 2,295.41

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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.