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Finding the Fourth Proportional to 5,734.16, 7,909.79 and 3,606.32

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Solution

The fourth proportional to 5,734.16, 7,909.79 and 3,606.32 is: 4,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.16 : 7,909.79 = 3,606.32 : x
  2. Step 2: Convert to fraction form
    5,734.16/7,909.79 = 3,606.32/x
  3. Step 3: Cross multiply
    5,734.16x = 7,909.79 × 3,606.32
  4. Step 4: Simplify right side
    5,734.16x = 28,525,191.12
  5. Step 5: Solve for x
    x = 28,525,191.12/5,734.16
  6. Step 6: Final answer
    x = 4,974.60

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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.