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Finding the Fourth Proportional to 5,886.46, 8,827.15 and 2,185.98

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Solution

The fourth proportional to 5,886.46, 8,827.15 and 2,185.98 is: 3,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.46 : 8,827.15 = 2,185.98 : x
  2. Step 2: Convert to fraction form
    5,886.46/8,827.15 = 2,185.98/x
  3. Step 3: Cross multiply
    5,886.46x = 8,827.15 × 2,185.98
  4. Step 4: Simplify right side
    5,886.46x = 19,295,923.76
  5. Step 5: Solve for x
    x = 19,295,923.76/5,886.46
  6. Step 6: Final answer
    x = 3,278.02

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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.