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Finding the Fourth Proportional to 3,762.99, 5,192.91 and 2,191.10

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Solution

The fourth proportional to 3,762.99, 5,192.91 and 2,191.10 is: 3,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.99 : 5,192.91 = 2,191.10 : x
  2. Step 2: Convert to fraction form
    3,762.99/5,192.91 = 2,191.10/x
  3. Step 3: Cross multiply
    3,762.99x = 5,192.91 × 2,191.10
  4. Step 4: Simplify right side
    3,762.99x = 11,378,159.14
  5. Step 5: Solve for x
    x = 11,378,159.14/3,762.99
  6. Step 6: Final answer
    x = 3,023.70

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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.