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Finding the Fourth Proportional to 6,297.52, 9,448.82 and 2,601.60

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Solution

The fourth proportional to 6,297.52, 9,448.82 and 2,601.60 is: 3,903.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.52 : 9,448.82 = 2,601.60 : x
  2. Step 2: Convert to fraction form
    6,297.52/9,448.82 = 2,601.60/x
  3. Step 3: Cross multiply
    6,297.52x = 9,448.82 × 2,601.60
  4. Step 4: Simplify right side
    6,297.52x = 24,582,050.11
  5. Step 5: Solve for x
    x = 24,582,050.11/6,297.52
  6. Step 6: Final answer
    x = 3,903.45

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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.