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Finding the Fourth Proportional to 5,455.31, 8,173.04 and 5,252.81

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Solution

The fourth proportional to 5,455.31, 8,173.04 and 5,252.81 is: 7,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455.31 : 8,173.04 = 5,252.81 : x
  2. Step 2: Convert to fraction form
    5,455.31/8,173.04 = 5,252.81/x
  3. Step 3: Cross multiply
    5,455.31x = 8,173.04 × 5,252.81
  4. Step 4: Simplify right side
    5,455.31x = 42,931,359.11
  5. Step 5: Solve for x
    x = 42,931,359.11/5,455.31
  6. Step 6: Final answer
    x = 7,869.65

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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.