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Finding the Fourth Proportional to 4,868.70, 7,305.14 and 1,946.22

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Solution

The fourth proportional to 4,868.70, 7,305.14 and 1,946.22 is: 2,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.70 : 7,305.14 = 1,946.22 : x
  2. Step 2: Convert to fraction form
    4,868.70/7,305.14 = 1,946.22/x
  3. Step 3: Cross multiply
    4,868.70x = 7,305.14 × 1,946.22
  4. Step 4: Simplify right side
    4,868.70x = 14,217,409.57
  5. Step 5: Solve for x
    x = 14,217,409.57/4,868.70
  6. Step 6: Final answer
    x = 2,920.17

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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.