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Finding the Fourth Proportional to 5,875.70, 8,106.23 and 3,751.31

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Solution

The fourth proportional to 5,875.70, 8,106.23 and 3,751.31 is: 5,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.70 : 8,106.23 = 3,751.31 : x
  2. Step 2: Convert to fraction form
    5,875.70/8,106.23 = 3,751.31/x
  3. Step 3: Cross multiply
    5,875.70x = 8,106.23 × 3,751.31
  4. Step 4: Simplify right side
    5,875.70x = 30,408,981.66
  5. Step 5: Solve for x
    x = 30,408,981.66/5,875.70
  6. Step 6: Final answer
    x = 5,175.38

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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.