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Finding the Fourth Proportional to 5,646.35, 7,793.64 and 3,657.03

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Solution

The fourth proportional to 5,646.35, 7,793.64 and 3,657.03 is: 5,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.35 : 7,793.64 = 3,657.03 : x
  2. Step 2: Convert to fraction form
    5,646.35/7,793.64 = 3,657.03/x
  3. Step 3: Cross multiply
    5,646.35x = 7,793.64 × 3,657.03
  4. Step 4: Simplify right side
    5,646.35x = 28,501,575.29
  5. Step 5: Solve for x
    x = 28,501,575.29/5,646.35
  6. Step 6: Final answer
    x = 5,047.79

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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.