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Finding the Fourth Proportional to 5,898.54, 8,143.74 and 3,663.72

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Solution

The fourth proportional to 5,898.54, 8,143.74 and 3,663.72 is: 5,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.54 : 8,143.74 = 3,663.72 : x
  2. Step 2: Convert to fraction form
    5,898.54/8,143.74 = 3,663.72/x
  3. Step 3: Cross multiply
    5,898.54x = 8,143.74 × 3,663.72
  4. Step 4: Simplify right side
    5,898.54x = 29,836,383.11
  5. Step 5: Solve for x
    x = 29,836,383.11/5,898.54
  6. Step 6: Final answer
    x = 5,058.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.