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Finding the Fourth Proportional to 3,614.88, 5,420.64 and 1,766.08

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Solution

The fourth proportional to 3,614.88, 5,420.64 and 1,766.08 is: 2,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.88 : 5,420.64 = 1,766.08 : x
  2. Step 2: Convert to fraction form
    3,614.88/5,420.64 = 1,766.08/x
  3. Step 3: Cross multiply
    3,614.88x = 5,420.64 × 1,766.08
  4. Step 4: Simplify right side
    3,614.88x = 9,573,283.89
  5. Step 5: Solve for x
    x = 9,573,283.89/3,614.88
  6. Step 6: Final answer
    x = 2,648.30

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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.