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Finding the Fourth Proportional to 4,326.50, 6,489.14 and 2,471.60

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Solution

The fourth proportional to 4,326.50, 6,489.14 and 2,471.60 is: 3,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.50 : 6,489.14 = 2,471.60 : x
  2. Step 2: Convert to fraction form
    4,326.50/6,489.14 = 2,471.60/x
  3. Step 3: Cross multiply
    4,326.50x = 6,489.14 × 2,471.60
  4. Step 4: Simplify right side
    4,326.50x = 16,038,558.42
  5. Step 5: Solve for x
    x = 16,038,558.42/4,326.50
  6. Step 6: Final answer
    x = 3,707.05

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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.