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Finding the Fourth Proportional to 4,678.20, 7,016.90 and 1,905.17

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Solution

The fourth proportional to 4,678.20, 7,016.90 and 1,905.17 is: 2,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.20 : 7,016.90 = 1,905.17 : x
  2. Step 2: Convert to fraction form
    4,678.20/7,016.90 = 1,905.17/x
  3. Step 3: Cross multiply
    4,678.20x = 7,016.90 × 1,905.17
  4. Step 4: Simplify right side
    4,678.20x = 13,368,342.76
  5. Step 5: Solve for x
    x = 13,368,342.76/4,678.20
  6. Step 6: Final answer
    x = 2,857.58

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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.