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Finding the Fourth Proportional to 4,893.16, 7,330.50 and 3,792.14

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Solution

The fourth proportional to 4,893.16, 7,330.50 and 3,792.14 is: 5,681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.16 : 7,330.50 = 3,792.14 : x
  2. Step 2: Convert to fraction form
    4,893.16/7,330.50 = 3,792.14/x
  3. Step 3: Cross multiply
    4,893.16x = 7,330.50 × 3,792.14
  4. Step 4: Simplify right side
    4,893.16x = 27,798,245.62
  5. Step 5: Solve for x
    x = 27,798,245.62/4,893.16
  6. Step 6: Final answer
    x = 5,681.04

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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.