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Finding the Fourth Proportional to 5,609.30, 7,732.74 and 3,925.48

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Solution

The fourth proportional to 5,609.30, 7,732.74 and 3,925.48 is: 5,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.30 : 7,732.74 = 3,925.48 : x
  2. Step 2: Convert to fraction form
    5,609.30/7,732.74 = 3,925.48/x
  3. Step 3: Cross multiply
    5,609.30x = 7,732.74 × 3,925.48
  4. Step 4: Simplify right side
    5,609.30x = 30,354,716.22
  5. Step 5: Solve for x
    x = 30,354,716.22/5,609.30
  6. Step 6: Final answer
    x = 5,411.50

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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.