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Finding the Fourth Proportional to 4,571.64, 6,857.46 and 1,285.07

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Solution

The fourth proportional to 4,571.64, 6,857.46 and 1,285.07 is: 1,927.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.64 : 6,857.46 = 1,285.07 : x
  2. Step 2: Convert to fraction form
    4,571.64/6,857.46 = 1,285.07/x
  3. Step 3: Cross multiply
    4,571.64x = 6,857.46 × 1,285.07
  4. Step 4: Simplify right side
    4,571.64x = 8,812,281.83
  5. Step 5: Solve for x
    x = 8,812,281.83/4,571.64
  6. Step 6: Final answer
    x = 1,927.60

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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.