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Finding the Fourth Proportional to 5,886.54, 8,816.36 and 2,810.70

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Solution

The fourth proportional to 5,886.54, 8,816.36 and 2,810.70 is: 4,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.54 : 8,816.36 = 2,810.70 : x
  2. Step 2: Convert to fraction form
    5,886.54/8,816.36 = 2,810.70/x
  3. Step 3: Cross multiply
    5,886.54x = 8,816.36 × 2,810.70
  4. Step 4: Simplify right side
    5,886.54x = 24,780,143.05
  5. Step 5: Solve for x
    x = 24,780,143.05/5,886.54
  6. Step 6: Final answer
    x = 4,209.63

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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.