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Finding the Fourth Proportional to 4,911.48, 6,773.20 and 3,140

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Solution

The fourth proportional to 4,911.48, 6,773.20 and 3,140 is: 4,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.48 : 6,773.20 = 3,140 : x
  2. Step 2: Convert to fraction form
    4,911.48/6,773.20 = 3,140/x
  3. Step 3: Cross multiply
    4,911.48x = 6,773.20 × 3,140
  4. Step 4: Simplify right side
    4,911.48x = 21,267,848
  5. Step 5: Solve for x
    x = 21,267,848/4,911.48
  6. Step 6: Final answer
    x = 4,330.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.