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Finding the Fourth Proportional to 4,846.86, 7,264.42 and 2,210.75

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Solution

The fourth proportional to 4,846.86, 7,264.42 and 2,210.75 is: 3,313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.86 : 7,264.42 = 2,210.75 : x
  2. Step 2: Convert to fraction form
    4,846.86/7,264.42 = 2,210.75/x
  3. Step 3: Cross multiply
    4,846.86x = 7,264.42 × 2,210.75
  4. Step 4: Simplify right side
    4,846.86x = 16,059,816.52
  5. Step 5: Solve for x
    x = 16,059,816.52/4,846.86
  6. Step 6: Final answer
    x = 3,313.45

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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.