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Finding the Fourth Proportional to 4,277.70, 6,407.54 and 2,191.36

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Solution

The fourth proportional to 4,277.70, 6,407.54 and 2,191.36 is: 3,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.70 : 6,407.54 = 2,191.36 : x
  2. Step 2: Convert to fraction form
    4,277.70/6,407.54 = 2,191.36/x
  3. Step 3: Cross multiply
    4,277.70x = 6,407.54 × 2,191.36
  4. Step 4: Simplify right side
    4,277.70x = 14,041,226.85
  5. Step 5: Solve for x
    x = 14,041,226.85/4,277.70
  6. Step 6: Final answer
    x = 3,282.42

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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.