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Finding the Fourth Proportional to 5,465.21, 8,204.31 and 5,242.41

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Solution

The fourth proportional to 5,465.21, 8,204.31 and 5,242.41 is: 7,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.21 : 8,204.31 = 5,242.41 : x
  2. Step 2: Convert to fraction form
    5,465.21/8,204.31 = 5,242.41/x
  3. Step 3: Cross multiply
    5,465.21x = 8,204.31 × 5,242.41
  4. Step 4: Simplify right side
    5,465.21x = 43,010,356.79
  5. Step 5: Solve for x
    x = 43,010,356.79/5,465.21
  6. Step 6: Final answer
    x = 7,869.85

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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.