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Finding the Fourth Proportional to 5,002.84, 6,904.20 and 2,765.20

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Solution

The fourth proportional to 5,002.84, 6,904.20 and 2,765.20 is: 3,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.84 : 6,904.20 = 2,765.20 : x
  2. Step 2: Convert to fraction form
    5,002.84/6,904.20 = 2,765.20/x
  3. Step 3: Cross multiply
    5,002.84x = 6,904.20 × 2,765.20
  4. Step 4: Simplify right side
    5,002.84x = 19,091,493.84
  5. Step 5: Solve for x
    x = 19,091,493.84/5,002.84
  6. Step 6: Final answer
    x = 3,816.13

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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.