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Finding the Fourth Proportional to 4,681.50, 7,022.25 and 2,834.70

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Solution

The fourth proportional to 4,681.50, 7,022.25 and 2,834.70 is: 4,252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.50 : 7,022.25 = 2,834.70 : x
  2. Step 2: Convert to fraction form
    4,681.50/7,022.25 = 2,834.70/x
  3. Step 3: Cross multiply
    4,681.50x = 7,022.25 × 2,834.70
  4. Step 4: Simplify right side
    4,681.50x = 19,905,972.08
  5. Step 5: Solve for x
    x = 19,905,972.08/4,681.50
  6. Step 6: Final answer
    x = 4,252.05

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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.