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Finding the Fourth Proportional to 4,725.84, 7,051.83 and 4,233.90

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Solution

The fourth proportional to 4,725.84, 7,051.83 and 4,233.90 is: 6,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.84 : 7,051.83 = 4,233.90 : x
  2. Step 2: Convert to fraction form
    4,725.84/7,051.83 = 4,233.90/x
  3. Step 3: Cross multiply
    4,725.84x = 7,051.83 × 4,233.90
  4. Step 4: Simplify right side
    4,725.84x = 29,856,743.04
  5. Step 5: Solve for x
    x = 29,856,743.04/4,725.84
  6. Step 6: Final answer
    x = 6,317.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.