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Finding the Fourth Proportional to 3,548.32, 4,861.22 and 3,415.31

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Solution

The fourth proportional to 3,548.32, 4,861.22 and 3,415.31 is: 4,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.32 : 4,861.22 = 3,415.31 : x
  2. Step 2: Convert to fraction form
    3,548.32/4,861.22 = 3,415.31/x
  3. Step 3: Cross multiply
    3,548.32x = 4,861.22 × 3,415.31
  4. Step 4: Simplify right side
    3,548.32x = 16,602,550.86
  5. Step 5: Solve for x
    x = 16,602,550.86/3,548.32
  6. Step 6: Final answer
    x = 4,678.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.