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Finding the Fourth Proportional to 3,117.78, 4,289.94 and 3,010.02

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Solution

The fourth proportional to 3,117.78, 4,289.94 and 3,010.02 is: 4,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.78 : 4,289.94 = 3,010.02 : x
  2. Step 2: Convert to fraction form
    3,117.78/4,289.94 = 3,010.02/x
  3. Step 3: Cross multiply
    3,117.78x = 4,289.94 × 3,010.02
  4. Step 4: Simplify right side
    3,117.78x = 12,912,805.20
  5. Step 5: Solve for x
    x = 12,912,805.20/3,117.78
  6. Step 6: Final answer
    x = 4,141.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.