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Finding the Fourth Proportional to 5,813.16, 8,021.34 and 4,394.76

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Solution

The fourth proportional to 5,813.16, 8,021.34 and 4,394.76 is: 6,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.16 : 8,021.34 = 4,394.76 : x
  2. Step 2: Convert to fraction form
    5,813.16/8,021.34 = 4,394.76/x
  3. Step 3: Cross multiply
    5,813.16x = 8,021.34 × 4,394.76
  4. Step 4: Simplify right side
    5,813.16x = 35,251,864.18
  5. Step 5: Solve for x
    x = 35,251,864.18/5,813.16
  6. Step 6: Final answer
    x = 6,064.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.