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Finding the Fourth Proportional to 4,462.13, 6,693.23 and 1,828.95

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Solution

The fourth proportional to 4,462.13, 6,693.23 and 1,828.95 is: 2,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.13 : 6,693.23 = 1,828.95 : x
  2. Step 2: Convert to fraction form
    4,462.13/6,693.23 = 1,828.95/x
  3. Step 3: Cross multiply
    4,462.13x = 6,693.23 × 1,828.95
  4. Step 4: Simplify right side
    4,462.13x = 12,241,612.68
  5. Step 5: Solve for x
    x = 12,241,612.68/4,462.13
  6. Step 6: Final answer
    x = 2,743.45

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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.