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Finding the Fourth Proportional to 4,494.90, 6,202.98 and 2,478.54

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Solution

The fourth proportional to 4,494.90, 6,202.98 and 2,478.54 is: 3,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.90 : 6,202.98 = 2,478.54 : x
  2. Step 2: Convert to fraction form
    4,494.90/6,202.98 = 2,478.54/x
  3. Step 3: Cross multiply
    4,494.90x = 6,202.98 × 2,478.54
  4. Step 4: Simplify right side
    4,494.90x = 15,374,334.05
  5. Step 5: Solve for x
    x = 15,374,334.05/4,494.90
  6. Step 6: Final answer
    x = 3,420.40

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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.