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Finding the Fourth Proportional to 5,065.10, 7,590.78 and 1,942.22

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Solution

The fourth proportional to 5,065.10, 7,590.78 and 1,942.22 is: 2,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.10 : 7,590.78 = 1,942.22 : x
  2. Step 2: Convert to fraction form
    5,065.10/7,590.78 = 1,942.22/x
  3. Step 3: Cross multiply
    5,065.10x = 7,590.78 × 1,942.22
  4. Step 4: Simplify right side
    5,065.10x = 14,742,964.73
  5. Step 5: Solve for x
    x = 14,742,964.73/5,065.10
  6. Step 6: Final answer
    x = 2,910.70

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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.