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Finding the Fourth Proportional to 5,888.27, 8,828.61 and 2,764.10

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Solution

The fourth proportional to 5,888.27, 8,828.61 and 2,764.10 is: 4,144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.27 : 8,828.61 = 2,764.10 : x
  2. Step 2: Convert to fraction form
    5,888.27/8,828.61 = 2,764.10/x
  3. Step 3: Cross multiply
    5,888.27x = 8,828.61 × 2,764.10
  4. Step 4: Simplify right side
    5,888.27x = 24,403,116.76
  5. Step 5: Solve for x
    x = 24,403,116.76/5,888.27
  6. Step 6: Final answer
    x = 4,144.36

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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.