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Finding the Fourth Proportional to 5,210.56, 7,813.47 and 2,247.60

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Solution

The fourth proportional to 5,210.56, 7,813.47 and 2,247.60 is: 3,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.56 : 7,813.47 = 2,247.60 : x
  2. Step 2: Convert to fraction form
    5,210.56/7,813.47 = 2,247.60/x
  3. Step 3: Cross multiply
    5,210.56x = 7,813.47 × 2,247.60
  4. Step 4: Simplify right side
    5,210.56x = 17,561,555.17
  5. Step 5: Solve for x
    x = 17,561,555.17/5,210.56
  6. Step 6: Final answer
    x = 3,370.38

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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.