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Finding the Fourth Proportional to 3,883.91, 5,826.05 and 1,110.98

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Solution

The fourth proportional to 3,883.91, 5,826.05 and 1,110.98 is: 1,666.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.91 : 5,826.05 = 1,110.98 : x
  2. Step 2: Convert to fraction form
    3,883.91/5,826.05 = 1,110.98/x
  3. Step 3: Cross multiply
    3,883.91x = 5,826.05 × 1,110.98
  4. Step 4: Simplify right side
    3,883.91x = 6,472,590.34
  5. Step 5: Solve for x
    x = 6,472,590.34/3,883.91
  6. Step 6: Final answer
    x = 1,666.52

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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.