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Finding the Fourth Proportional to 3,762.44, 5,603.88 and 3,564.80

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Solution

The fourth proportional to 3,762.44, 5,603.88 and 3,564.80 is: 5,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.44 : 5,603.88 = 3,564.80 : x
  2. Step 2: Convert to fraction form
    3,762.44/5,603.88 = 3,564.80/x
  3. Step 3: Cross multiply
    3,762.44x = 5,603.88 × 3,564.80
  4. Step 4: Simplify right side
    3,762.44x = 19,976,711.42
  5. Step 5: Solve for x
    x = 19,976,711.42/3,762.44
  6. Step 6: Final answer
    x = 5,309.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.