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Finding the Fourth Proportional to 6,228.48, 9,344.00 and 2,530.70

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Solution

The fourth proportional to 6,228.48, 9,344.00 and 2,530.70 is: 3,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.48 : 9,344.00 = 2,530.70 : x
  2. Step 2: Convert to fraction form
    6,228.48/9,344.00 = 2,530.70/x
  3. Step 3: Cross multiply
    6,228.48x = 9,344.00 × 2,530.70
  4. Step 4: Simplify right side
    6,228.48x = 23,646,841.21
  5. Step 5: Solve for x
    x = 23,646,841.21/6,228.48
  6. Step 6: Final answer
    x = 3,796.57

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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.