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Finding the Fourth Proportional to 5,102.99, 7,042.04 and 2,864.66

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Solution

The fourth proportional to 5,102.99, 7,042.04 and 2,864.66 is: 3,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.99 : 7,042.04 = 2,864.66 : x
  2. Step 2: Convert to fraction form
    5,102.99/7,042.04 = 2,864.66/x
  3. Step 3: Cross multiply
    5,102.99x = 7,042.04 × 2,864.66
  4. Step 4: Simplify right side
    5,102.99x = 20,173,015.10
  5. Step 5: Solve for x
    x = 20,173,015.10/5,102.99
  6. Step 6: Final answer
    x = 3,953.18

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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.