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Finding the Fourth Proportional to 3,652.30, 5,038.27 and 2,766.57

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Solution

The fourth proportional to 3,652.30, 5,038.27 and 2,766.57 is: 3,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.30 : 5,038.27 = 2,766.57 : x
  2. Step 2: Convert to fraction form
    3,652.30/5,038.27 = 2,766.57/x
  3. Step 3: Cross multiply
    3,652.30x = 5,038.27 × 2,766.57
  4. Step 4: Simplify right side
    3,652.30x = 13,938,726.63
  5. Step 5: Solve for x
    x = 13,938,726.63/3,652.30
  6. Step 6: Final answer
    x = 3,816.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.