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Finding the Fourth Proportional to 3,784.05, 5,679.42 and 2,030.50

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Solution

The fourth proportional to 3,784.05, 5,679.42 and 2,030.50 is: 3,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.05 : 5,679.42 = 2,030.50 : x
  2. Step 2: Convert to fraction form
    3,784.05/5,679.42 = 2,030.50/x
  3. Step 3: Cross multiply
    3,784.05x = 5,679.42 × 2,030.50
  4. Step 4: Simplify right side
    3,784.05x = 11,532,061.79
  5. Step 5: Solve for x
    x = 11,532,061.79/3,784.05
  6. Step 6: Final answer
    x = 3,047.54

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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.