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Finding the Fourth Proportional to 4,189.52, 6,285.72 and 1,592.84

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Solution

The fourth proportional to 4,189.52, 6,285.72 and 1,592.84 is: 2,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.52 : 6,285.72 = 1,592.84 : x
  2. Step 2: Convert to fraction form
    4,189.52/6,285.72 = 1,592.84/x
  3. Step 3: Cross multiply
    4,189.52x = 6,285.72 × 1,592.84
  4. Step 4: Simplify right side
    4,189.52x = 10,012,146.24
  5. Step 5: Solve for x
    x = 10,012,146.24/4,189.52
  6. Step 6: Final answer
    x = 2,389.81

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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.