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Finding the Fourth Proportional to 5,314.58, 7,337.40 and 3,426.83

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Solution

The fourth proportional to 5,314.58, 7,337.40 and 3,426.83 is: 4,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.58 : 7,337.40 = 3,426.83 : x
  2. Step 2: Convert to fraction form
    5,314.58/7,337.40 = 3,426.83/x
  3. Step 3: Cross multiply
    5,314.58x = 7,337.40 × 3,426.83
  4. Step 4: Simplify right side
    5,314.58x = 25,144,022.44
  5. Step 5: Solve for x
    x = 25,144,022.44/5,314.58
  6. Step 6: Final answer
    x = 4,731.14

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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.