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Finding the Fourth Proportional to 3,842.00, 5,756.51 and 2,800.54

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Solution

The fourth proportional to 3,842.00, 5,756.51 and 2,800.54 is: 4,196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.00 : 5,756.51 = 2,800.54 : x
  2. Step 2: Convert to fraction form
    3,842.00/5,756.51 = 2,800.54/x
  3. Step 3: Cross multiply
    3,842.00x = 5,756.51 × 2,800.54
  4. Step 4: Simplify right side
    3,842.00x = 16,121,307.73
  5. Step 5: Solve for x
    x = 16,121,307.73/3,842.00
  6. Step 6: Final answer
    x = 4,196.08

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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.