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Finding the Fourth Proportional to 5,648.69, 7,795.95 and 3,290.42

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Solution

The fourth proportional to 5,648.69, 7,795.95 and 3,290.42 is: 4,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.69 : 7,795.95 = 3,290.42 : x
  2. Step 2: Convert to fraction form
    5,648.69/7,795.95 = 3,290.42/x
  3. Step 3: Cross multiply
    5,648.69x = 7,795.95 × 3,290.42
  4. Step 4: Simplify right side
    5,648.69x = 25,651,949.80
  5. Step 5: Solve for x
    x = 25,651,949.80/5,648.69
  6. Step 6: Final answer
    x = 4,541.22

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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.