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Finding the Fourth Proportional to 4,607.17, 6,910.80 and 1,144.42

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Solution

The fourth proportional to 4,607.17, 6,910.80 and 1,144.42 is: 1,716.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.17 : 6,910.80 = 1,144.42 : x
  2. Step 2: Convert to fraction form
    4,607.17/6,910.80 = 1,144.42/x
  3. Step 3: Cross multiply
    4,607.17x = 6,910.80 × 1,144.42
  4. Step 4: Simplify right side
    4,607.17x = 7,908,857.74
  5. Step 5: Solve for x
    x = 7,908,857.74/4,607.17
  6. Step 6: Final answer
    x = 1,716.64

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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.