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Finding the Fourth Proportional to 5,463.60, 8,196.42 and 1,765.47

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Solution

The fourth proportional to 5,463.60, 8,196.42 and 1,765.47 is: 2,648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.60 : 8,196.42 = 1,765.47 : x
  2. Step 2: Convert to fraction form
    5,463.60/8,196.42 = 1,765.47/x
  3. Step 3: Cross multiply
    5,463.60x = 8,196.42 × 1,765.47
  4. Step 4: Simplify right side
    5,463.60x = 14,470,533.62
  5. Step 5: Solve for x
    x = 14,470,533.62/5,463.60
  6. Step 6: Final answer
    x = 2,648.53

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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.