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Finding the Fourth Proportional to 4,596.17, 6,896.84 and 2,487.74

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Solution

The fourth proportional to 4,596.17, 6,896.84 and 2,487.74 is: 3,733.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.17 : 6,896.84 = 2,487.74 : x
  2. Step 2: Convert to fraction form
    4,596.17/6,896.84 = 2,487.74/x
  3. Step 3: Cross multiply
    4,596.17x = 6,896.84 × 2,487.74
  4. Step 4: Simplify right side
    4,596.17x = 17,157,497.82
  5. Step 5: Solve for x
    x = 17,157,497.82/4,596.17
  6. Step 6: Final answer
    x = 3,733.00

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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.