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Finding the Fourth Proportional to 3,886.18, 5,827.75 and 1,693.41

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Solution

The fourth proportional to 3,886.18, 5,827.75 and 1,693.41 is: 2,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.18 : 5,827.75 = 1,693.41 : x
  2. Step 2: Convert to fraction form
    3,886.18/5,827.75 = 1,693.41/x
  3. Step 3: Cross multiply
    3,886.18x = 5,827.75 × 1,693.41
  4. Step 4: Simplify right side
    3,886.18x = 9,868,744.04
  5. Step 5: Solve for x
    x = 9,868,744.04/3,886.18
  6. Step 6: Final answer
    x = 2,539.45

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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.