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Finding the Fourth Proportional to 5,308.20, 7,962.84 and 1,611.36

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Solution

The fourth proportional to 5,308.20, 7,962.84 and 1,611.36 is: 2,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.20 : 7,962.84 = 1,611.36 : x
  2. Step 2: Convert to fraction form
    5,308.20/7,962.84 = 1,611.36/x
  3. Step 3: Cross multiply
    5,308.20x = 7,962.84 × 1,611.36
  4. Step 4: Simplify right side
    5,308.20x = 12,831,001.86
  5. Step 5: Solve for x
    x = 12,831,001.86/5,308.20
  6. Step 6: Final answer
    x = 2,417.20

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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.