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Finding the Fourth Proportional to 4,607.37, 6,911.06 and 1,144.62

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Solution

The fourth proportional to 4,607.37, 6,911.06 and 1,144.62 is: 1,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.37 : 6,911.06 = 1,144.62 : x
  2. Step 2: Convert to fraction form
    4,607.37/6,911.06 = 1,144.62/x
  3. Step 3: Cross multiply
    4,607.37x = 6,911.06 × 1,144.62
  4. Step 4: Simplify right side
    4,607.37x = 7,910,531.77
  5. Step 5: Solve for x
    x = 7,910,531.77/4,607.37
  6. Step 6: Final answer
    x = 1,716.93

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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.