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Finding the Fourth Proportional to 4,740.92, 7,095.88 and 4,286.20

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Solution

The fourth proportional to 4,740.92, 7,095.88 and 4,286.20 is: 6,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.92 : 7,095.88 = 4,286.20 : x
  2. Step 2: Convert to fraction form
    4,740.92/7,095.88 = 4,286.20/x
  3. Step 3: Cross multiply
    4,740.92x = 7,095.88 × 4,286.20
  4. Step 4: Simplify right side
    4,740.92x = 30,414,360.86
  5. Step 5: Solve for x
    x = 30,414,360.86/4,740.92
  6. Step 6: Final answer
    x = 6,415.29

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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.