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Finding the Fourth Proportional to 5,106.46, 7,046.91 and 2,868.40

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Solution

The fourth proportional to 5,106.46, 7,046.91 and 2,868.40 is: 3,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.46 : 7,046.91 = 2,868.40 : x
  2. Step 2: Convert to fraction form
    5,106.46/7,046.91 = 2,868.40/x
  3. Step 3: Cross multiply
    5,106.46x = 7,046.91 × 2,868.40
  4. Step 4: Simplify right side
    5,106.46x = 20,213,356.64
  5. Step 5: Solve for x
    x = 20,213,356.64/5,106.46
  6. Step 6: Final answer
    x = 3,958.39

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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.