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Finding the Fourth Proportional to 4,772.98, 6,586.74 and 2,619.50

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Solution

The fourth proportional to 4,772.98, 6,586.74 and 2,619.50 is: 3,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.98 : 6,586.74 = 2,619.50 : x
  2. Step 2: Convert to fraction form
    4,772.98/6,586.74 = 2,619.50/x
  3. Step 3: Cross multiply
    4,772.98x = 6,586.74 × 2,619.50
  4. Step 4: Simplify right side
    4,772.98x = 17,253,986.18
  5. Step 5: Solve for x
    x = 17,253,986.18/4,772.98
  6. Step 6: Final answer
    x = 3,614.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.