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Finding the Fourth Proportional to 3,978.69, 5,490.59 and 2,210.46

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Solution

The fourth proportional to 3,978.69, 5,490.59 and 2,210.46 is: 3,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.69 : 5,490.59 = 2,210.46 : x
  2. Step 2: Convert to fraction form
    3,978.69/5,490.59 = 2,210.46/x
  3. Step 3: Cross multiply
    3,978.69x = 5,490.59 × 2,210.46
  4. Step 4: Simplify right side
    3,978.69x = 12,136,729.57
  5. Step 5: Solve for x
    x = 12,136,729.57/3,978.69
  6. Step 6: Final answer
    x = 3,050.43

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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.