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Finding the Fourth Proportional to 6,448, 8,898.24 and 3,504

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Solution

The fourth proportional to 6,448, 8,898.24 and 3,504 is: 4,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448 : 8,898.24 = 3,504 : x
  2. Step 2: Convert to fraction form
    6,448/8,898.24 = 3,504/x
  3. Step 3: Cross multiply
    6,448x = 8,898.24 × 3,504
  4. Step 4: Simplify right side
    6,448x = 31,179,432.96
  5. Step 5: Solve for x
    x = 31,179,432.96/6,448
  6. Step 6: Final answer
    x = 4,835.52

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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.