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Finding the Fourth Proportional to 5,886.63, 8,829.84 and 2,376.55

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Solution

The fourth proportional to 5,886.63, 8,829.84 and 2,376.55 is: 3,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.63 : 8,829.84 = 2,376.55 : x
  2. Step 2: Convert to fraction form
    5,886.63/8,829.84 = 2,376.55/x
  3. Step 3: Cross multiply
    5,886.63x = 8,829.84 × 2,376.55
  4. Step 4: Simplify right side
    5,886.63x = 20,984,534.18
  5. Step 5: Solve for x
    x = 20,984,534.18/5,886.63
  6. Step 6: Final answer
    x = 3,564.78

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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.