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Finding the Fourth Proportional to 4,596.53, 6,892.90 and 1,822.82

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Solution

The fourth proportional to 4,596.53, 6,892.90 and 1,822.82 is: 2,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.53 : 6,892.90 = 1,822.82 : x
  2. Step 2: Convert to fraction form
    4,596.53/6,892.90 = 1,822.82/x
  3. Step 3: Cross multiply
    4,596.53x = 6,892.90 × 1,822.82
  4. Step 4: Simplify right side
    4,596.53x = 12,564,476.96
  5. Step 5: Solve for x
    x = 12,564,476.96/4,596.53
  6. Step 6: Final answer
    x = 2,733.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.