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Finding the Fourth Proportional to 5,075.92, 6,999.42 and 3,752.38

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Solution

The fourth proportional to 5,075.92, 6,999.42 and 3,752.38 is: 5,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.92 : 6,999.42 = 3,752.38 : x
  2. Step 2: Convert to fraction form
    5,075.92/6,999.42 = 3,752.38/x
  3. Step 3: Cross multiply
    5,075.92x = 6,999.42 × 3,752.38
  4. Step 4: Simplify right side
    5,075.92x = 26,264,483.62
  5. Step 5: Solve for x
    x = 26,264,483.62/5,075.92
  6. Step 6: Final answer
    x = 5,174.33

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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.