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Finding the Fourth Proportional to 5,308.92, 7,963.76 and 1,611.45

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Solution

The fourth proportional to 5,308.92, 7,963.76 and 1,611.45 is: 2,417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.92 : 7,963.76 = 1,611.45 : x
  2. Step 2: Convert to fraction form
    5,308.92/7,963.76 = 1,611.45/x
  3. Step 3: Cross multiply
    5,308.92x = 7,963.76 × 1,611.45
  4. Step 4: Simplify right side
    5,308.92x = 12,833,192.99
  5. Step 5: Solve for x
    x = 12,833,192.99/5,308.92
  6. Step 6: Final answer
    x = 2,417.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.