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Finding the Fourth Proportional to 4,606.16, 6,363.24 and 3,984.08

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Solution

The fourth proportional to 4,606.16, 6,363.24 and 3,984.08 is: 5,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.16 : 6,363.24 = 3,984.08 : x
  2. Step 2: Convert to fraction form
    4,606.16/6,363.24 = 3,984.08/x
  3. Step 3: Cross multiply
    4,606.16x = 6,363.24 × 3,984.08
  4. Step 4: Simplify right side
    4,606.16x = 25,351,657.22
  5. Step 5: Solve for x
    x = 25,351,657.22/4,606.16
  6. Step 6: Final answer
    x = 5,503.86

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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.