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Finding the Fourth Proportional to 6,358.24, 8,774.42 and 3,563.76

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Solution

The fourth proportional to 6,358.24, 8,774.42 and 3,563.76 is: 4,918.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.24 : 8,774.42 = 3,563.76 : x
  2. Step 2: Convert to fraction form
    6,358.24/8,774.42 = 3,563.76/x
  3. Step 3: Cross multiply
    6,358.24x = 8,774.42 × 3,563.76
  4. Step 4: Simplify right side
    6,358.24x = 31,269,927.02
  5. Step 5: Solve for x
    x = 31,269,927.02/6,358.24
  6. Step 6: Final answer
    x = 4,918.02

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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.