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Finding the Fourth Proportional to 6,420.24, 8,856.63 and 4,185.84

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Solution

The fourth proportional to 6,420.24, 8,856.63 and 4,185.84 is: 5,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.24 : 8,856.63 = 4,185.84 : x
  2. Step 2: Convert to fraction form
    6,420.24/8,856.63 = 4,185.84/x
  3. Step 3: Cross multiply
    6,420.24x = 8,856.63 × 4,185.84
  4. Step 4: Simplify right side
    6,420.24x = 37,072,436.12
  5. Step 5: Solve for x
    x = 37,072,436.12/6,420.24
  6. Step 6: Final answer
    x = 5,774.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.