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Finding the Fourth Proportional to 3,632.99, 5,448.23 and 1,411.30

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Solution

The fourth proportional to 3,632.99, 5,448.23 and 1,411.30 is: 2,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.99 : 5,448.23 = 1,411.30 : x
  2. Step 2: Convert to fraction form
    3,632.99/5,448.23 = 1,411.30/x
  3. Step 3: Cross multiply
    3,632.99x = 5,448.23 × 1,411.30
  4. Step 4: Simplify right side
    3,632.99x = 7,689,098.00
  5. Step 5: Solve for x
    x = 7,689,098.00/3,632.99
  6. Step 6: Final answer
    x = 2,116.46

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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.