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Finding the Fourth Proportional to 4,432.86, 6,650.26 and 1,313.11

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Solution

The fourth proportional to 4,432.86, 6,650.26 and 1,313.11 is: 1,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.86 : 6,650.26 = 1,313.11 : x
  2. Step 2: Convert to fraction form
    4,432.86/6,650.26 = 1,313.11/x
  3. Step 3: Cross multiply
    4,432.86x = 6,650.26 × 1,313.11
  4. Step 4: Simplify right side
    4,432.86x = 8,732,499.88
  5. Step 5: Solve for x
    x = 8,732,499.88/4,432.86
  6. Step 6: Final answer
    x = 1,969.95

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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.