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Finding the Fourth Proportional to 3,980.19, 5,492.71 and 2,489.00

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Solution

The fourth proportional to 3,980.19, 5,492.71 and 2,489.00 is: 3,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.19 : 5,492.71 = 2,489.00 : x
  2. Step 2: Convert to fraction form
    3,980.19/5,492.71 = 2,489.00/x
  3. Step 3: Cross multiply
    3,980.19x = 5,492.71 × 2,489.00
  4. Step 4: Simplify right side
    3,980.19x = 13,671,377.18
  5. Step 5: Solve for x
    x = 13,671,377.18/3,980.19
  6. Step 6: Final answer
    x = 3,434.86

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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.