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Finding the Fourth Proportional to 3,490.58, 4,817.23 and 2,165.17

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Solution

The fourth proportional to 3,490.58, 4,817.23 and 2,165.17 is: 2,988.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.58 : 4,817.23 = 2,165.17 : x
  2. Step 2: Convert to fraction form
    3,490.58/4,817.23 = 2,165.17/x
  3. Step 3: Cross multiply
    3,490.58x = 4,817.23 × 2,165.17
  4. Step 4: Simplify right side
    3,490.58x = 10,430,097.79
  5. Step 5: Solve for x
    x = 10,430,097.79/3,490.58
  6. Step 6: Final answer
    x = 2,988.07

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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.