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Finding the Fourth Proportional to 5,632.16, 7,770 and 3,769.76

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Solution

The fourth proportional to 5,632.16, 7,770 and 3,769.76 is: 5,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.16 : 7,770 = 3,769.76 : x
  2. Step 2: Convert to fraction form
    5,632.16/7,770 = 3,769.76/x
  3. Step 3: Cross multiply
    5,632.16x = 7,770 × 3,769.76
  4. Step 4: Simplify right side
    5,632.16x = 29,291,035.20
  5. Step 5: Solve for x
    x = 29,291,035.20/5,632.16
  6. Step 6: Final answer
    x = 5,200.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.