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Finding the Fourth Proportional to 4,778.40, 6,594 and 2,682.48

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Solution

The fourth proportional to 4,778.40, 6,594 and 2,682.48 is: 3,701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.40 : 6,594 = 2,682.48 : x
  2. Step 2: Convert to fraction form
    4,778.40/6,594 = 2,682.48/x
  3. Step 3: Cross multiply
    4,778.40x = 6,594 × 2,682.48
  4. Step 4: Simplify right side
    4,778.40x = 17,688,273.12
  5. Step 5: Solve for x
    x = 17,688,273.12/4,778.40
  6. Step 6: Final answer
    x = 3,701.71

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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.