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Finding the Fourth Proportional to 4,152.48, 5,715.81 and 3,758.82

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Solution

The fourth proportional to 4,152.48, 5,715.81 and 3,758.82 is: 5,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.48 : 5,715.81 = 3,758.82 : x
  2. Step 2: Convert to fraction form
    4,152.48/5,715.81 = 3,758.82/x
  3. Step 3: Cross multiply
    4,152.48x = 5,715.81 × 3,758.82
  4. Step 4: Simplify right side
    4,152.48x = 21,484,700.94
  5. Step 5: Solve for x
    x = 21,484,700.94/4,152.48
  6. Step 6: Final answer
    x = 5,173.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.