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Finding the Fourth Proportional to 4,363.65, 6,022.31 and 3,820.32

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Solution

The fourth proportional to 4,363.65, 6,022.31 and 3,820.32 is: 5,272.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.65 : 6,022.31 = 3,820.32 : x
  2. Step 2: Convert to fraction form
    4,363.65/6,022.31 = 3,820.32/x
  3. Step 3: Cross multiply
    4,363.65x = 6,022.31 × 3,820.32
  4. Step 4: Simplify right side
    4,363.65x = 23,007,151.34
  5. Step 5: Solve for x
    x = 23,007,151.34/4,363.65
  6. Step 6: Final answer
    x = 5,272.46

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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.