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Finding the Fourth Proportional to 3,607.24, 4,978.04 and 2,035.36

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Solution

The fourth proportional to 3,607.24, 4,978.04 and 2,035.36 is: 2,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.24 : 4,978.04 = 2,035.36 : x
  2. Step 2: Convert to fraction form
    3,607.24/4,978.04 = 2,035.36/x
  3. Step 3: Cross multiply
    3,607.24x = 4,978.04 × 2,035.36
  4. Step 4: Simplify right side
    3,607.24x = 10,132,103.49
  5. Step 5: Solve for x
    x = 10,132,103.49/3,607.24
  6. Step 6: Final answer
    x = 2,808.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.