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Finding the Fourth Proportional to 3,400.32, 5,101.42 and 3,075

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Solution

The fourth proportional to 3,400.32, 5,101.42 and 3,075 is: 4,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.32 : 5,101.42 = 3,075 : x
  2. Step 2: Convert to fraction form
    3,400.32/5,101.42 = 3,075/x
  3. Step 3: Cross multiply
    3,400.32x = 5,101.42 × 3,075
  4. Step 4: Simplify right side
    3,400.32x = 15,686,866.50
  5. Step 5: Solve for x
    x = 15,686,866.50/3,400.32
  6. Step 6: Final answer
    x = 4,613.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.