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Finding the Fourth Proportional to 3,755.36, 5,632.50 and 1,563.86

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Solution

The fourth proportional to 3,755.36, 5,632.50 and 1,563.86 is: 2,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.36 : 5,632.50 = 1,563.86 : x
  2. Step 2: Convert to fraction form
    3,755.36/5,632.50 = 1,563.86/x
  3. Step 3: Cross multiply
    3,755.36x = 5,632.50 × 1,563.86
  4. Step 4: Simplify right side
    3,755.36x = 8,808,441.45
  5. Step 5: Solve for x
    x = 8,808,441.45/3,755.36
  6. Step 6: Final answer
    x = 2,345.57

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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.