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Finding the Fourth Proportional to 4,966.61, 6,856.92 and 3,289.45

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Solution

The fourth proportional to 4,966.61, 6,856.92 and 3,289.45 is: 4,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.61 : 6,856.92 = 3,289.45 : x
  2. Step 2: Convert to fraction form
    4,966.61/6,856.92 = 3,289.45/x
  3. Step 3: Cross multiply
    4,966.61x = 6,856.92 × 3,289.45
  4. Step 4: Simplify right side
    4,966.61x = 22,555,478.35
  5. Step 5: Solve for x
    x = 22,555,478.35/4,966.61
  6. Step 6: Final answer
    x = 4,541.43

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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.