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Finding the Fourth Proportional to 4,285.77, 6,427.44 and 1,652.87

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Solution

The fourth proportional to 4,285.77, 6,427.44 and 1,652.87 is: 2,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.77 : 6,427.44 = 1,652.87 : x
  2. Step 2: Convert to fraction form
    4,285.77/6,427.44 = 1,652.87/x
  3. Step 3: Cross multiply
    4,285.77x = 6,427.44 × 1,652.87
  4. Step 4: Simplify right side
    4,285.77x = 10,623,690.62
  5. Step 5: Solve for x
    x = 10,623,690.62/4,285.77
  6. Step 6: Final answer
    x = 2,478.83

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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.