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Finding the Fourth Proportional to 3,603.84, 5,398.56 and 2,864.70

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Solution

The fourth proportional to 3,603.84, 5,398.56 and 2,864.70 is: 4,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.84 : 5,398.56 = 2,864.70 : x
  2. Step 2: Convert to fraction form
    3,603.84/5,398.56 = 2,864.70/x
  3. Step 3: Cross multiply
    3,603.84x = 5,398.56 × 2,864.70
  4. Step 4: Simplify right side
    3,603.84x = 15,465,213.52
  5. Step 5: Solve for x
    x = 15,465,213.52/3,603.84
  6. Step 6: Final answer
    x = 4,291.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.