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Finding the Fourth Proportional to 4,706.14, 7,059.08 and 1,243.40

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Solution

The fourth proportional to 4,706.14, 7,059.08 and 1,243.40 is: 1,865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.14 : 7,059.08 = 1,243.40 : x
  2. Step 2: Convert to fraction form
    4,706.14/7,059.08 = 1,243.40/x
  3. Step 3: Cross multiply
    4,706.14x = 7,059.08 × 1,243.40
  4. Step 4: Simplify right side
    4,706.14x = 8,777,260.07
  5. Step 5: Solve for x
    x = 8,777,260.07/4,706.14
  6. Step 6: Final answer
    x = 1,865.07

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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.