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Finding the Fourth Proportional to 3,755.03, 5,632.88 and 981.65

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Solution

The fourth proportional to 3,755.03, 5,632.88 and 981.65 is: 1,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.03 : 5,632.88 = 981.65 : x
  2. Step 2: Convert to fraction form
    3,755.03/5,632.88 = 981.65/x
  3. Step 3: Cross multiply
    3,755.03x = 5,632.88 × 981.65
  4. Step 4: Simplify right side
    3,755.03x = 5,529,525.83
  5. Step 5: Solve for x
    x = 5,529,525.83/3,755.03
  6. Step 6: Final answer
    x = 1,472.57

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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.