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Finding the Fourth Proportional to 5,896.05, 8,844.21 and 1,513.55

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Solution

The fourth proportional to 5,896.05, 8,844.21 and 1,513.55 is: 2,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.05 : 8,844.21 = 1,513.55 : x
  2. Step 2: Convert to fraction form
    5,896.05/8,844.21 = 1,513.55/x
  3. Step 3: Cross multiply
    5,896.05x = 8,844.21 × 1,513.55
  4. Step 4: Simplify right side
    5,896.05x = 13,386,109.82
  5. Step 5: Solve for x
    x = 13,386,109.82/5,896.05
  6. Step 6: Final answer
    x = 2,270.35

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1.5x scale

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.