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Finding the Fourth Proportional to 5,316.32, 7,967.46 and 4,079

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Solution

The fourth proportional to 5,316.32, 7,967.46 and 4,079 is: 6,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.32 : 7,967.46 = 4,079 : x
  2. Step 2: Convert to fraction form
    5,316.32/7,967.46 = 4,079/x
  3. Step 3: Cross multiply
    5,316.32x = 7,967.46 × 4,079
  4. Step 4: Simplify right side
    5,316.32x = 32,499,269.34
  5. Step 5: Solve for x
    x = 32,499,269.34/5,316.32
  6. Step 6: Final answer
    x = 6,113.11

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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.