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Finding the Fourth Proportional to 4,572.40, 6,857.92 and 1,285.82

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Solution

The fourth proportional to 4,572.40, 6,857.92 and 1,285.82 is: 1,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.40 : 6,857.92 = 1,285.82 : x
  2. Step 2: Convert to fraction form
    4,572.40/6,857.92 = 1,285.82/x
  3. Step 3: Cross multiply
    4,572.40x = 6,857.92 × 1,285.82
  4. Step 4: Simplify right side
    4,572.40x = 8,818,050.69
  5. Step 5: Solve for x
    x = 8,818,050.69/4,572.40
  6. Step 6: Final answer
    x = 1,928.54

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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.