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Finding the Fourth Proportional to 5,762.97, 8,642.67 and 3,788.49

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Solution

The fourth proportional to 5,762.97, 8,642.67 and 3,788.49 is: 5,681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.97 : 8,642.67 = 3,788.49 : x
  2. Step 2: Convert to fraction form
    5,762.97/8,642.67 = 3,788.49/x
  3. Step 3: Cross multiply
    5,762.97x = 8,642.67 × 3,788.49
  4. Step 4: Simplify right side
    5,762.97x = 32,742,668.87
  5. Step 5: Solve for x
    x = 32,742,668.87/5,762.97
  6. Step 6: Final answer
    x = 5,681.56

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1.5x scale

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.