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Finding the Fourth Proportional to 5,102.93, 7,041.56 and 2,864.30

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Solution

The fourth proportional to 5,102.93, 7,041.56 and 2,864.30 is: 3,952.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.93 : 7,041.56 = 2,864.30 : x
  2. Step 2: Convert to fraction form
    5,102.93/7,041.56 = 2,864.30/x
  3. Step 3: Cross multiply
    5,102.93x = 7,041.56 × 2,864.30
  4. Step 4: Simplify right side
    5,102.93x = 20,169,125.46
  5. Step 5: Solve for x
    x = 20,169,125.46/5,102.93
  6. Step 6: Final answer
    x = 3,952.46

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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.