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Finding the Fourth Proportional to 5,106.98, 7,046.78 and 3,011.52

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Solution

The fourth proportional to 5,106.98, 7,046.78 and 3,011.52 is: 4,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.98 : 7,046.78 = 3,011.52 : x
  2. Step 2: Convert to fraction form
    5,106.98/7,046.78 = 3,011.52/x
  3. Step 3: Cross multiply
    5,106.98x = 7,046.78 × 3,011.52
  4. Step 4: Simplify right side
    5,106.98x = 21,221,518.91
  5. Step 5: Solve for x
    x = 21,221,518.91/5,106.98
  6. Step 6: Final answer
    x = 4,155.39

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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.