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Finding the Fourth Proportional to 3,607.50, 4,978.47 and 2,209.98

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Solution

The fourth proportional to 3,607.50, 4,978.47 and 2,209.98 is: 3,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.50 : 4,978.47 = 2,209.98 : x
  2. Step 2: Convert to fraction form
    3,607.50/4,978.47 = 2,209.98/x
  3. Step 3: Cross multiply
    3,607.50x = 4,978.47 × 2,209.98
  4. Step 4: Simplify right side
    3,607.50x = 11,002,319.13
  5. Step 5: Solve for x
    x = 11,002,319.13/3,607.50
  6. Step 6: Final answer
    x = 3,049.85

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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.