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Finding the Fourth Proportional to 4,302.80, 6,453.30 and 2,113.10

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Solution

The fourth proportional to 4,302.80, 6,453.30 and 2,113.10 is: 3,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.80 : 6,453.30 = 2,113.10 : x
  2. Step 2: Convert to fraction form
    4,302.80/6,453.30 = 2,113.10/x
  3. Step 3: Cross multiply
    4,302.80x = 6,453.30 × 2,113.10
  4. Step 4: Simplify right side
    4,302.80x = 13,636,468.23
  5. Step 5: Solve for x
    x = 13,636,468.23/4,302.80
  6. Step 6: Final answer
    x = 3,169.21

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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.