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Finding the Fourth Proportional to 5,875.69, 8,106.24 and 3,751.30

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Solution

The fourth proportional to 5,875.69, 8,106.24 and 3,751.30 is: 5,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.69 : 8,106.24 = 3,751.30 : x
  2. Step 2: Convert to fraction form
    5,875.69/8,106.24 = 3,751.30/x
  3. Step 3: Cross multiply
    5,875.69x = 8,106.24 × 3,751.30
  4. Step 4: Simplify right side
    5,875.69x = 30,408,938.11
  5. Step 5: Solve for x
    x = 30,408,938.11/5,875.69
  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.