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Finding the Fourth Proportional to 5,035.42, 6,949.34 and 3,046.46

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Solution

The fourth proportional to 5,035.42, 6,949.34 and 3,046.46 is: 4,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,035.42 : 6,949.34 = 3,046.46 : x
  2. Step 2: Convert to fraction form
    5,035.42/6,949.34 = 3,046.46/x
  3. Step 3: Cross multiply
    5,035.42x = 6,949.34 × 3,046.46
  4. Step 4: Simplify right side
    5,035.42x = 21,170,893.95
  5. Step 5: Solve for x
    x = 21,170,893.95/5,035.42
  6. Step 6: Final answer
    x = 4,204.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.