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Finding the Fourth Proportional to 3,618.59, 5,426.06 and 1,766.93

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Solution

The fourth proportional to 3,618.59, 5,426.06 and 1,766.93 is: 2,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.59 : 5,426.06 = 1,766.93 : x
  2. Step 2: Convert to fraction form
    3,618.59/5,426.06 = 1,766.93/x
  3. Step 3: Cross multiply
    3,618.59x = 5,426.06 × 1,766.93
  4. Step 4: Simplify right side
    3,618.59x = 9,587,432.23
  5. Step 5: Solve for x
    x = 9,587,432.23/3,618.59
  6. Step 6: Final answer
    x = 2,649.50

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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.