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Finding the Fourth Proportional to 3,354.70, 4,613.06 and 2,911.82

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Solution

The fourth proportional to 3,354.70, 4,613.06 and 2,911.82 is: 4,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.70 : 4,613.06 = 2,911.82 : x
  2. Step 2: Convert to fraction form
    3,354.70/4,613.06 = 2,911.82/x
  3. Step 3: Cross multiply
    3,354.70x = 4,613.06 × 2,911.82
  4. Step 4: Simplify right side
    3,354.70x = 13,432,400.37
  5. Step 5: Solve for x
    x = 13,432,400.37/3,354.70
  6. Step 6: Final answer
    x = 4,004.05

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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.