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Finding the Fourth Proportional to 5,878.42, 8,817.56 and 1,495.87

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Solution

The fourth proportional to 5,878.42, 8,817.56 and 1,495.87 is: 2,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.42 : 8,817.56 = 1,495.87 : x
  2. Step 2: Convert to fraction form
    5,878.42/8,817.56 = 1,495.87/x
  3. Step 3: Cross multiply
    5,878.42x = 8,817.56 × 1,495.87
  4. Step 4: Simplify right side
    5,878.42x = 13,189,899.56
  5. Step 5: Solve for x
    x = 13,189,899.56/5,878.42
  6. Step 6: Final answer
    x = 2,243.78

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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.