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Finding the Fourth Proportional to 5,814.16, 8,021 and 3,822.16

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Solution

The fourth proportional to 5,814.16, 8,021 and 3,822.16 is: 5,272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.16 : 8,021 = 3,822.16 : x
  2. Step 2: Convert to fraction form
    5,814.16/8,021 = 3,822.16/x
  3. Step 3: Cross multiply
    5,814.16x = 8,021 × 3,822.16
  4. Step 4: Simplify right side
    5,814.16x = 30,657,545.36
  5. Step 5: Solve for x
    x = 30,657,545.36/5,814.16
  6. Step 6: Final answer
    x = 5,272.91

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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.