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Finding the Fourth Proportional to 4,549.94, 6,824.98 and 1,429.82

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Solution

The fourth proportional to 4,549.94, 6,824.98 and 1,429.82 is: 2,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.94 : 6,824.98 = 1,429.82 : x
  2. Step 2: Convert to fraction form
    4,549.94/6,824.98 = 1,429.82/x
  3. Step 3: Cross multiply
    4,549.94x = 6,824.98 × 1,429.82
  4. Step 4: Simplify right side
    4,549.94x = 9,758,492.90
  5. Step 5: Solve for x
    x = 9,758,492.90/4,549.94
  6. Step 6: Final answer
    x = 2,144.75

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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.