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Finding the Fourth Proportional to 5,570.31, 8,344.53 and 5,209.46

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Solution

The fourth proportional to 5,570.31, 8,344.53 and 5,209.46 is: 7,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.31 : 8,344.53 = 5,209.46 : x
  2. Step 2: Convert to fraction form
    5,570.31/8,344.53 = 5,209.46/x
  3. Step 3: Cross multiply
    5,570.31x = 8,344.53 × 5,209.46
  4. Step 4: Simplify right side
    5,570.31x = 43,470,453.53
  5. Step 5: Solve for x
    x = 43,470,453.53/5,570.31
  6. Step 6: Final answer
    x = 7,803.96

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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.