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Finding the Fourth Proportional to 4,471.86, 6,698.07 and 2,158.50

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Solution

The fourth proportional to 4,471.86, 6,698.07 and 2,158.50 is: 3,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.86 : 6,698.07 = 2,158.50 : x
  2. Step 2: Convert to fraction form
    4,471.86/6,698.07 = 2,158.50/x
  3. Step 3: Cross multiply
    4,471.86x = 6,698.07 × 2,158.50
  4. Step 4: Simplify right side
    4,471.86x = 14,457,784.10
  5. Step 5: Solve for x
    x = 14,457,784.10/4,471.86
  6. Step 6: Final answer
    x = 3,233.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.