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Finding the Fourth Proportional to 5,152.10, 7,715.75 and 4,893.71

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Solution

The fourth proportional to 5,152.10, 7,715.75 and 4,893.71 is: 7,328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.10 : 7,715.75 = 4,893.71 : x
  2. Step 2: Convert to fraction form
    5,152.10/7,715.75 = 4,893.71/x
  3. Step 3: Cross multiply
    5,152.10x = 7,715.75 × 4,893.71
  4. Step 4: Simplify right side
    5,152.10x = 37,758,604.35
  5. Step 5: Solve for x
    x = 37,758,604.35/5,152.10
  6. Step 6: Final answer
    x = 7,328.79

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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.