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Finding the Fourth Proportional to 5,886.84, 8,120.46 and 3,675

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Solution

The fourth proportional to 5,886.84, 8,120.46 and 3,675 is: 5,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.84 : 8,120.46 = 3,675 : x
  2. Step 2: Convert to fraction form
    5,886.84/8,120.46 = 3,675/x
  3. Step 3: Cross multiply
    5,886.84x = 8,120.46 × 3,675
  4. Step 4: Simplify right side
    5,886.84x = 29,842,690.50
  5. Step 5: Solve for x
    x = 29,842,690.50/5,886.84
  6. Step 6: Final answer
    x = 5,069.39

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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.