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Finding the Fourth Proportional to 4,732.58, 7,096.04 and 4,039.49

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Solution

The fourth proportional to 4,732.58, 7,096.04 and 4,039.49 is: 6,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.58 : 7,096.04 = 4,039.49 : x
  2. Step 2: Convert to fraction form
    4,732.58/7,096.04 = 4,039.49/x
  3. Step 3: Cross multiply
    4,732.58x = 7,096.04 × 4,039.49
  4. Step 4: Simplify right side
    4,732.58x = 28,664,395.31
  5. Step 5: Solve for x
    x = 28,664,395.31/4,732.58
  6. Step 6: Final answer
    x = 6,056.82

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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.