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Finding the Fourth Proportional to 4,706.26, 7,061.48 and 1,935.02

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Solution

The fourth proportional to 4,706.26, 7,061.48 and 1,935.02 is: 2,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.26 : 7,061.48 = 1,935.02 : x
  2. Step 2: Convert to fraction form
    4,706.26/7,061.48 = 1,935.02/x
  3. Step 3: Cross multiply
    4,706.26x = 7,061.48 × 1,935.02
  4. Step 4: Simplify right side
    4,706.26x = 13,664,105.03
  5. Step 5: Solve for x
    x = 13,664,105.03/4,706.26
  6. Step 6: Final answer
    x = 2,903.39

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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.