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Finding the Fourth Proportional to 3,430.62, 5,136.63 and 1,783.71

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Solution

The fourth proportional to 3,430.62, 5,136.63 and 1,783.71 is: 2,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.62 : 5,136.63 = 1,783.71 : x
  2. Step 2: Convert to fraction form
    3,430.62/5,136.63 = 1,783.71/x
  3. Step 3: Cross multiply
    3,430.62x = 5,136.63 × 1,783.71
  4. Step 4: Simplify right side
    3,430.62x = 9,162,258.30
  5. Step 5: Solve for x
    x = 9,162,258.30/3,430.62
  6. Step 6: Final answer
    x = 2,670.73

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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.