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Finding the Fourth Proportional to 5,090.34, 7,633.71 and 2,314.68

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Solution

The fourth proportional to 5,090.34, 7,633.71 and 2,314.68 is: 3,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.34 : 7,633.71 = 2,314.68 : x
  2. Step 2: Convert to fraction form
    5,090.34/7,633.71 = 2,314.68/x
  3. Step 3: Cross multiply
    5,090.34x = 7,633.71 × 2,314.68
  4. Step 4: Simplify right side
    5,090.34x = 17,669,595.86
  5. Step 5: Solve for x
    x = 17,669,595.86/5,090.34
  6. Step 6: Final answer
    x = 3,471.20

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