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Finding the Fourth Proportional to 4,813.42, 7,217.16 and 1,890.40

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Solution

The fourth proportional to 4,813.42, 7,217.16 and 1,890.40 is: 2,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.42 : 7,217.16 = 1,890.40 : x
  2. Step 2: Convert to fraction form
    4,813.42/7,217.16 = 1,890.40/x
  3. Step 3: Cross multiply
    4,813.42x = 7,217.16 × 1,890.40
  4. Step 4: Simplify right side
    4,813.42x = 13,643,319.26
  5. Step 5: Solve for x
    x = 13,643,319.26/4,813.42
  6. Step 6: Final answer
    x = 2,834.43

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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.