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Finding the Fourth Proportional to 5,878.65, 8,817.98 and 4,581.09

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Solution

The fourth proportional to 5,878.65, 8,817.98 and 4,581.09 is: 6,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.65 : 8,817.98 = 4,581.09 : x
  2. Step 2: Convert to fraction form
    5,878.65/8,817.98 = 4,581.09/x
  3. Step 3: Cross multiply
    5,878.65x = 8,817.98 × 4,581.09
  4. Step 4: Simplify right side
    5,878.65x = 40,395,937.09
  5. Step 5: Solve for x
    x = 40,395,937.09/5,878.65
  6. Step 6: Final answer
    x = 6,871.64

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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.