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Finding the Fourth Proportional to 4,210.67, 6,309 and 2,562.23

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Solution

The fourth proportional to 4,210.67, 6,309 and 2,562.23 is: 3,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.67 : 6,309 = 2,562.23 : x
  2. Step 2: Convert to fraction form
    4,210.67/6,309 = 2,562.23/x
  3. Step 3: Cross multiply
    4,210.67x = 6,309 × 2,562.23
  4. Step 4: Simplify right side
    4,210.67x = 16,165,077.53
  5. Step 5: Solve for x
    x = 16,165,077.53/4,210.67
  6. Step 6: Final answer
    x = 3,839.08

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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.