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Finding the Fourth Proportional to 3,800.27, 5,649.12 and 3,688.16

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Solution

The fourth proportional to 3,800.27, 5,649.12 and 3,688.16 is: 5,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.27 : 5,649.12 = 3,688.16 : x
  2. Step 2: Convert to fraction form
    3,800.27/5,649.12 = 3,688.16/x
  3. Step 3: Cross multiply
    3,800.27x = 5,649.12 × 3,688.16
  4. Step 4: Simplify right side
    3,800.27x = 20,834,830.17
  5. Step 5: Solve for x
    x = 20,834,830.17/3,800.27
  6. Step 6: Final answer
    x = 5,482.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.