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Finding the Fourth Proportional to 5,632.12, 8,448.72 and 2,512

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Solution

The fourth proportional to 5,632.12, 8,448.72 and 2,512 is: 3,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.12 : 8,448.72 = 2,512 : x
  2. Step 2: Convert to fraction form
    5,632.12/8,448.72 = 2,512/x
  3. Step 3: Cross multiply
    5,632.12x = 8,448.72 × 2,512
  4. Step 4: Simplify right side
    5,632.12x = 21,223,184.64
  5. Step 5: Solve for x
    x = 21,223,184.64/5,632.12
  6. Step 6: Final answer
    x = 3,768.24

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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.