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Finding the Fourth Proportional to 4,892.18, 6,739.98 and 3,616.42

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Solution

The fourth proportional to 4,892.18, 6,739.98 and 3,616.42 is: 4,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.18 : 6,739.98 = 3,616.42 : x
  2. Step 2: Convert to fraction form
    4,892.18/6,739.98 = 3,616.42/x
  3. Step 3: Cross multiply
    4,892.18x = 6,739.98 × 3,616.42
  4. Step 4: Simplify right side
    4,892.18x = 24,374,598.47
  5. Step 5: Solve for x
    x = 24,374,598.47/4,892.18
  6. Step 6: Final answer
    x = 4,982.36

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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.