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Finding the Fourth Proportional to 3,755.63, 5,632.54 and 1,566.81

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Solution

The fourth proportional to 3,755.63, 5,632.54 and 1,566.81 is: 2,349.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.63 : 5,632.54 = 1,566.81 : x
  2. Step 2: Convert to fraction form
    3,755.63/5,632.54 = 1,566.81/x
  3. Step 3: Cross multiply
    3,755.63x = 5,632.54 × 1,566.81
  4. Step 4: Simplify right side
    3,755.63x = 8,825,116.08
  5. Step 5: Solve for x
    x = 8,825,116.08/3,755.63
  6. Step 6: Final answer
    x = 2,349.83

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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.