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Finding the Fourth Proportional to 4,311.36, 6,468.84 and 1,714.68

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Solution

The fourth proportional to 4,311.36, 6,468.84 and 1,714.68 is: 2,572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.36 : 6,468.84 = 1,714.68 : x
  2. Step 2: Convert to fraction form
    4,311.36/6,468.84 = 1,714.68/x
  3. Step 3: Cross multiply
    4,311.36x = 6,468.84 × 1,714.68
  4. Step 4: Simplify right side
    4,311.36x = 11,091,990.57
  5. Step 5: Solve for x
    x = 11,091,990.57/4,311.36
  6. Step 6: Final answer
    x = 2,572.74

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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.