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Finding the Fourth Proportional to 5,766.48, 8,643 and 2,646.81

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Solution

The fourth proportional to 5,766.48, 8,643 and 2,646.81 is: 3,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.48 : 8,643 = 2,646.81 : x
  2. Step 2: Convert to fraction form
    5,766.48/8,643 = 2,646.81/x
  3. Step 3: Cross multiply
    5,766.48x = 8,643 × 2,646.81
  4. Step 4: Simplify right side
    5,766.48x = 22,876,378.83
  5. Step 5: Solve for x
    x = 22,876,378.83/5,766.48
  6. Step 6: Final answer
    x = 3,967.13

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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.