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Finding the Fourth Proportional to 5,311.06, 7,966.07 and 1,613.32

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Solution

The fourth proportional to 5,311.06, 7,966.07 and 1,613.32 is: 2,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.06 : 7,966.07 = 1,613.32 : x
  2. Step 2: Convert to fraction form
    5,311.06/7,966.07 = 1,613.32/x
  3. Step 3: Cross multiply
    5,311.06x = 7,966.07 × 1,613.32
  4. Step 4: Simplify right side
    5,311.06x = 12,851,820.05
  5. Step 5: Solve for x
    x = 12,851,820.05/5,311.06
  6. Step 6: Final answer
    x = 2,419.82

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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.