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Finding the Fourth Proportional to 6,453.76, 8,895.84 and 4,354.24

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Solution

The fourth proportional to 6,453.76, 8,895.84 and 4,354.24 is: 6,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.76 : 8,895.84 = 4,354.24 : x
  2. Step 2: Convert to fraction form
    6,453.76/8,895.84 = 4,354.24/x
  3. Step 3: Cross multiply
    6,453.76x = 8,895.84 × 4,354.24
  4. Step 4: Simplify right side
    6,453.76x = 38,734,622.36
  5. Step 5: Solve for x
    x = 38,734,622.36/6,453.76
  6. Step 6: Final answer
    x = 6,001.87

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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.