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Finding the Fourth Proportional to 3,978.68, 5,490.83 and 2,210.30

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Solution

The fourth proportional to 3,978.68, 5,490.83 and 2,210.30 is: 3,050.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.68 : 5,490.83 = 2,210.30 : x
  2. Step 2: Convert to fraction form
    3,978.68/5,490.83 = 2,210.30/x
  3. Step 3: Cross multiply
    3,978.68x = 5,490.83 × 2,210.30
  4. Step 4: Simplify right side
    3,978.68x = 12,136,359.62
  5. Step 5: Solve for x
    x = 12,136,359.62/3,978.68
  6. Step 6: Final answer
    x = 3,050.35

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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.