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Finding the Fourth Proportional to 5,858.16, 8,769.96 and 3,554.16

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Solution

The fourth proportional to 5,858.16, 8,769.96 and 3,554.16 is: 5,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.16 : 8,769.96 = 3,554.16 : x
  2. Step 2: Convert to fraction form
    5,858.16/8,769.96 = 3,554.16/x
  3. Step 3: Cross multiply
    5,858.16x = 8,769.96 × 3,554.16
  4. Step 4: Simplify right side
    5,858.16x = 31,169,841.03
  5. Step 5: Solve for x
    x = 31,169,841.03/5,858.16
  6. Step 6: Final answer
    x = 5,320.76

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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.