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Finding the Fourth Proportional to 5,232.46, 7,848.90 and 1,336.90

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Solution

The fourth proportional to 5,232.46, 7,848.90 and 1,336.90 is: 2,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.46 : 7,848.90 = 1,336.90 : x
  2. Step 2: Convert to fraction form
    5,232.46/7,848.90 = 1,336.90/x
  3. Step 3: Cross multiply
    5,232.46x = 7,848.90 × 1,336.90
  4. Step 4: Simplify right side
    5,232.46x = 10,493,194.41
  5. Step 5: Solve for x
    x = 10,493,194.41/5,232.46
  6. Step 6: Final answer
    x = 2,005.40

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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.