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Finding the Fourth Proportional to 5,731.40, 8,598.30 and 2,268.68

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Solution

The fourth proportional to 5,731.40, 8,598.30 and 2,268.68 is: 3,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.40 : 8,598.30 = 2,268.68 : x
  2. Step 2: Convert to fraction form
    5,731.40/8,598.30 = 2,268.68/x
  3. Step 3: Cross multiply
    5,731.40x = 8,598.30 × 2,268.68
  4. Step 4: Simplify right side
    5,731.40x = 19,506,791.24
  5. Step 5: Solve for x
    x = 19,506,791.24/5,731.40
  6. Step 6: Final answer
    x = 3,403.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.