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Finding the Fourth Proportional to 5,952.35, 8,930.93 and 2,255.65

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Solution

The fourth proportional to 5,952.35, 8,930.93 and 2,255.65 is: 3,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.35 : 8,930.93 = 2,255.65 : x
  2. Step 2: Convert to fraction form
    5,952.35/8,930.93 = 2,255.65/x
  3. Step 3: Cross multiply
    5,952.35x = 8,930.93 × 2,255.65
  4. Step 4: Simplify right side
    5,952.35x = 20,145,018.65
  5. Step 5: Solve for x
    x = 20,145,018.65/5,952.35
  6. Step 6: Final answer
    x = 3,384.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.