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Finding the Fourth Proportional to 4,286.29, 6,430.11 and 1,821.13

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Solution

The fourth proportional to 4,286.29, 6,430.11 and 1,821.13 is: 2,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.29 : 6,430.11 = 1,821.13 : x
  2. Step 2: Convert to fraction form
    4,286.29/6,430.11 = 1,821.13/x
  3. Step 3: Cross multiply
    4,286.29x = 6,430.11 × 1,821.13
  4. Step 4: Simplify right side
    4,286.29x = 11,710,066.22
  5. Step 5: Solve for x
    x = 11,710,066.22/4,286.29
  6. Step 6: Final answer
    x = 2,731.98

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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.