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Finding the Fourth Proportional to 4,661.94, 6,986.61 and 2,581.86

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Solution

The fourth proportional to 4,661.94, 6,986.61 and 2,581.86 is: 3,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.94 : 6,986.61 = 2,581.86 : x
  2. Step 2: Convert to fraction form
    4,661.94/6,986.61 = 2,581.86/x
  3. Step 3: Cross multiply
    4,661.94x = 6,986.61 × 2,581.86
  4. Step 4: Simplify right side
    4,661.94x = 18,038,448.89
  5. Step 5: Solve for x
    x = 18,038,448.89/4,661.94
  6. Step 6: Final answer
    x = 3,869.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.