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Finding the Fourth Proportional to 5,731.53, 7,913.19 and 3,609.93

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Solution

The fourth proportional to 5,731.53, 7,913.19 and 3,609.93 is: 4,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.53 : 7,913.19 = 3,609.93 : x
  2. Step 2: Convert to fraction form
    5,731.53/7,913.19 = 3,609.93/x
  3. Step 3: Cross multiply
    5,731.53x = 7,913.19 × 3,609.93
  4. Step 4: Simplify right side
    5,731.53x = 28,566,061.98
  5. Step 5: Solve for x
    x = 28,566,061.98/5,731.53
  6. Step 6: Final answer
    x = 4,984.02

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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.