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Finding the Fourth Proportional to 5,152.05, 7,109.76 and 2,794.16

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Solution

The fourth proportional to 5,152.05, 7,109.76 and 2,794.16 is: 3,855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.05 : 7,109.76 = 2,794.16 : x
  2. Step 2: Convert to fraction form
    5,152.05/7,109.76 = 2,794.16/x
  3. Step 3: Cross multiply
    5,152.05x = 7,109.76 × 2,794.16
  4. Step 4: Simplify right side
    5,152.05x = 19,865,807.00
  5. Step 5: Solve for x
    x = 19,865,807.00/5,152.05
  6. Step 6: Final answer
    x = 3,855.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.