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Finding the Fourth Proportional to 5,646.40, 7,793.48 and 3,761.16

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Solution

The fourth proportional to 5,646.40, 7,793.48 and 3,761.16 is: 5,191.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.40 : 7,793.48 = 3,761.16 : x
  2. Step 2: Convert to fraction form
    5,646.40/7,793.48 = 3,761.16/x
  3. Step 3: Cross multiply
    5,646.40x = 7,793.48 × 3,761.16
  4. Step 4: Simplify right side
    5,646.40x = 29,312,525.24
  5. Step 5: Solve for x
    x = 29,312,525.24/5,646.40
  6. Step 6: Final answer
    x = 5,191.37

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