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Finding the Fourth Proportional to 3,977.90, 5,490.68 and 2,484.93

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Solution

The fourth proportional to 3,977.90, 5,490.68 and 2,484.93 is: 3,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.90 : 5,490.68 = 2,484.93 : x
  2. Step 2: Convert to fraction form
    3,977.90/5,490.68 = 2,484.93/x
  3. Step 3: Cross multiply
    3,977.90x = 5,490.68 × 2,484.93
  4. Step 4: Simplify right side
    3,977.90x = 13,643,943.03
  5. Step 5: Solve for x
    x = 13,643,943.03/3,977.90
  6. Step 6: Final answer
    x = 3,429.94

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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.