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Finding the Fourth Proportional to 5,829.35, 8,739.14 and 2,317.14

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Solution

The fourth proportional to 5,829.35, 8,739.14 and 2,317.14 is: 3,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.35 : 8,739.14 = 2,317.14 : x
  2. Step 2: Convert to fraction form
    5,829.35/8,739.14 = 2,317.14/x
  3. Step 3: Cross multiply
    5,829.35x = 8,739.14 × 2,317.14
  4. Step 4: Simplify right side
    5,829.35x = 20,249,799.27
  5. Step 5: Solve for x
    x = 20,249,799.27/5,829.35
  6. Step 6: Final answer
    x = 3,473.77

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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.