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Finding the Fourth Proportional to 3,643.10, 5,030.43 and 2,318.30

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Solution

The fourth proportional to 3,643.10, 5,030.43 and 2,318.30 is: 3,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.10 : 5,030.43 = 2,318.30 : x
  2. Step 2: Convert to fraction form
    3,643.10/5,030.43 = 2,318.30/x
  3. Step 3: Cross multiply
    3,643.10x = 5,030.43 × 2,318.30
  4. Step 4: Simplify right side
    3,643.10x = 11,662,045.87
  5. Step 5: Solve for x
    x = 11,662,045.87/3,643.10
  6. Step 6: Final answer
    x = 3,201.13

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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.