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Finding the Fourth Proportional to 5,199.96, 7,800.54 and 2,277.90

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Solution

The fourth proportional to 5,199.96, 7,800.54 and 2,277.90 is: 3,417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.96 : 7,800.54 = 2,277.90 : x
  2. Step 2: Convert to fraction form
    5,199.96/7,800.54 = 2,277.90/x
  3. Step 3: Cross multiply
    5,199.96x = 7,800.54 × 2,277.90
  4. Step 4: Simplify right side
    5,199.96x = 17,768,850.07
  5. Step 5: Solve for x
    x = 17,768,850.07/5,199.96
  6. Step 6: Final answer
    x = 3,417.11

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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.