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Finding the Fourth Proportional to 5,139.84, 7,714.08 and 4,120.32

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Solution

The fourth proportional to 5,139.84, 7,714.08 and 4,120.32 is: 6,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.84 : 7,714.08 = 4,120.32 : x
  2. Step 2: Convert to fraction form
    5,139.84/7,714.08 = 4,120.32/x
  3. Step 3: Cross multiply
    5,139.84x = 7,714.08 × 4,120.32
  4. Step 4: Simplify right side
    5,139.84x = 31,784,478.11
  5. Step 5: Solve for x
    x = 31,784,478.11/5,139.84
  6. Step 6: Final answer
    x = 6,183.94

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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.