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Finding the Fourth Proportional to 4,607.67, 6,911.55 and 1,144.92

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Solution

The fourth proportional to 4,607.67, 6,911.55 and 1,144.92 is: 1,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.67 : 6,911.55 = 1,144.92 : x
  2. Step 2: Convert to fraction form
    4,607.67/6,911.55 = 1,144.92/x
  3. Step 3: Cross multiply
    4,607.67x = 6,911.55 × 1,144.92
  4. Step 4: Simplify right side
    4,607.67x = 7,913,171.83
  5. Step 5: Solve for x
    x = 7,913,171.83/4,607.67
  6. Step 6: Final answer
    x = 1,717.39

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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.