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Finding the Fourth Proportional to 5,886.74, 8,123.38 and 3,368.97

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Solution

The fourth proportional to 5,886.74, 8,123.38 and 3,368.97 is: 4,648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.74 : 8,123.38 = 3,368.97 : x
  2. Step 2: Convert to fraction form
    5,886.74/8,123.38 = 3,368.97/x
  3. Step 3: Cross multiply
    5,886.74x = 8,123.38 × 3,368.97
  4. Step 4: Simplify right side
    5,886.74x = 27,367,415.10
  5. Step 5: Solve for x
    x = 27,367,415.10/5,886.74
  6. Step 6: Final answer
    x = 4,648.99

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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.