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Finding the Fourth Proportional to 3,751.64, 5,632.44 and 3,011.66

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Solution

The fourth proportional to 3,751.64, 5,632.44 and 3,011.66 is: 4,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.64 : 5,632.44 = 3,011.66 : x
  2. Step 2: Convert to fraction form
    3,751.64/5,632.44 = 3,011.66/x
  3. Step 3: Cross multiply
    3,751.64x = 5,632.44 × 3,011.66
  4. Step 4: Simplify right side
    3,751.64x = 16,962,994.25
  5. Step 5: Solve for x
    x = 16,962,994.25/3,751.64
  6. Step 6: Final answer
    x = 4,521.49

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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.