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Finding the Fourth Proportional to 3,606.30, 4,977.17 and 2,114.80

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Solution

The fourth proportional to 3,606.30, 4,977.17 and 2,114.80 is: 2,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.30 : 4,977.17 = 2,114.80 : x
  2. Step 2: Convert to fraction form
    3,606.30/4,977.17 = 2,114.80/x
  3. Step 3: Cross multiply
    3,606.30x = 4,977.17 × 2,114.80
  4. Step 4: Simplify right side
    3,606.30x = 10,525,719.12
  5. Step 5: Solve for x
    x = 10,525,719.12/3,606.30
  6. Step 6: Final answer
    x = 2,918.70

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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.