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Finding the Fourth Proportional to 5,396.16, 7,446.65 and 3,006.11

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Solution

The fourth proportional to 5,396.16, 7,446.65 and 3,006.11 is: 4,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.16 : 7,446.65 = 3,006.11 : x
  2. Step 2: Convert to fraction form
    5,396.16/7,446.65 = 3,006.11/x
  3. Step 3: Cross multiply
    5,396.16x = 7,446.65 × 3,006.11
  4. Step 4: Simplify right side
    5,396.16x = 22,385,419.31
  5. Step 5: Solve for x
    x = 22,385,419.31/5,396.16
  6. Step 6: Final answer
    x = 4,148.40

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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.