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Finding the Fourth Proportional to 5,878.36, 8,805.19 and 4,771.50

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Solution

The fourth proportional to 5,878.36, 8,805.19 and 4,771.50 is: 7,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.36 : 8,805.19 = 4,771.50 : x
  2. Step 2: Convert to fraction form
    5,878.36/8,805.19 = 4,771.50/x
  3. Step 3: Cross multiply
    5,878.36x = 8,805.19 × 4,771.50
  4. Step 4: Simplify right side
    5,878.36x = 42,013,928.08
  5. Step 5: Solve for x
    x = 42,013,928.08/5,878.36
  6. Step 6: Final answer
    x = 7,147.22

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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.