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Finding the Fourth Proportional to 5,484.76, 8,230.02 and 2,887.96

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Solution

The fourth proportional to 5,484.76, 8,230.02 and 2,887.96 is: 4,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.76 : 8,230.02 = 2,887.96 : x
  2. Step 2: Convert to fraction form
    5,484.76/8,230.02 = 2,887.96/x
  3. Step 3: Cross multiply
    5,484.76x = 8,230.02 × 2,887.96
  4. Step 4: Simplify right side
    5,484.76x = 23,767,968.56
  5. Step 5: Solve for x
    x = 23,767,968.56/5,484.76
  6. Step 6: Final answer
    x = 4,333.46

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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.