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Finding the Fourth Proportional to 3,675, 5,075.82 and 2,430.84

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Solution

The fourth proportional to 3,675, 5,075.82 and 2,430.84 is: 3,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675 : 5,075.82 = 2,430.84 : x
  2. Step 2: Convert to fraction form
    3,675/5,075.82 = 2,430.84/x
  3. Step 3: Cross multiply
    3,675x = 5,075.82 × 2,430.84
  4. Step 4: Simplify right side
    3,675x = 12,338,506.29
  5. Step 5: Solve for x
    x = 12,338,506.29/3,675
  6. Step 6: Final answer
    x = 3,357.42

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1.5x scale

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.