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Finding the Fourth Proportional to 5,632.96, 7,773.70 and 3,741.28

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Solution

The fourth proportional to 5,632.96, 7,773.70 and 3,741.28 is: 5,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.96 : 7,773.70 = 3,741.28 : x
  2. Step 2: Convert to fraction form
    5,632.96/7,773.70 = 3,741.28/x
  3. Step 3: Cross multiply
    5,632.96x = 7,773.70 × 3,741.28
  4. Step 4: Simplify right side
    5,632.96x = 29,083,588.34
  5. Step 5: Solve for x
    x = 29,083,588.34/5,632.96
  6. Step 6: Final answer
    x = 5,163.11

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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.