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Finding the Fourth Proportional to 5,102.57, 7,041.01 and 2,864.67

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Solution

The fourth proportional to 5,102.57, 7,041.01 and 2,864.67 is: 3,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.57 : 7,041.01 = 2,864.67 : x
  2. Step 2: Convert to fraction form
    5,102.57/7,041.01 = 2,864.67/x
  3. Step 3: Cross multiply
    5,102.57x = 7,041.01 × 2,864.67
  4. Step 4: Simplify right side
    5,102.57x = 20,170,170.12
  5. Step 5: Solve for x
    x = 20,170,170.12/5,102.57
  6. Step 6: Final answer
    x = 3,952.94

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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.