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Finding the Fourth Proportional to 4,750.58, 7,125.41 and 1,463.70

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Solution

The fourth proportional to 4,750.58, 7,125.41 and 1,463.70 is: 2,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.58 : 7,125.41 = 1,463.70 : x
  2. Step 2: Convert to fraction form
    4,750.58/7,125.41 = 1,463.70/x
  3. Step 3: Cross multiply
    4,750.58x = 7,125.41 × 1,463.70
  4. Step 4: Simplify right side
    4,750.58x = 10,429,462.62
  5. Step 5: Solve for x
    x = 10,429,462.62/4,750.58
  6. Step 6: Final answer
    x = 2,195.41

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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.