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Finding the Fourth Proportional to 4,201.10, 5,797.19 and 2,312.64

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Solution

The fourth proportional to 4,201.10, 5,797.19 and 2,312.64 is: 3,191.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.10 : 5,797.19 = 2,312.64 : x
  2. Step 2: Convert to fraction form
    4,201.10/5,797.19 = 2,312.64/x
  3. Step 3: Cross multiply
    4,201.10x = 5,797.19 × 2,312.64
  4. Step 4: Simplify right side
    4,201.10x = 13,406,801.92
  5. Step 5: Solve for x
    x = 13,406,801.92/4,201.10
  6. Step 6: Final answer
    x = 3,191.26

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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.