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Finding the Fourth Proportional to 3,089.89, 4,634.85 and 1,037.89

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Solution

The fourth proportional to 3,089.89, 4,634.85 and 1,037.89 is: 1,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.89 : 4,634.85 = 1,037.89 : x
  2. Step 2: Convert to fraction form
    3,089.89/4,634.85 = 1,037.89/x
  3. Step 3: Cross multiply
    3,089.89x = 4,634.85 × 1,037.89
  4. Step 4: Simplify right side
    3,089.89x = 4,810,464.47
  5. Step 5: Solve for x
    x = 4,810,464.47/3,089.89
  6. Step 6: Final answer
    x = 1,556.84

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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.