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Finding the Fourth Proportional to 5,254.24, 7,858.12 and 4,673.32

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Solution

The fourth proportional to 5,254.24, 7,858.12 and 4,673.32 is: 6,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.24 : 7,858.12 = 4,673.32 : x
  2. Step 2: Convert to fraction form
    5,254.24/7,858.12 = 4,673.32/x
  3. Step 3: Cross multiply
    5,254.24x = 7,858.12 × 4,673.32
  4. Step 4: Simplify right side
    5,254.24x = 36,723,446.70
  5. Step 5: Solve for x
    x = 36,723,446.70/5,254.24
  6. Step 6: Final answer
    x = 6,989.30

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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.