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Finding the Fourth Proportional to 5,820.66, 8,036.16 and 3,834.59

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Solution

The fourth proportional to 5,820.66, 8,036.16 and 3,834.59 is: 5,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.66 : 8,036.16 = 3,834.59 : x
  2. Step 2: Convert to fraction form
    5,820.66/8,036.16 = 3,834.59/x
  3. Step 3: Cross multiply
    5,820.66x = 8,036.16 × 3,834.59
  4. Step 4: Simplify right side
    5,820.66x = 30,815,390.99
  5. Step 5: Solve for x
    x = 30,815,390.99/5,820.66
  6. Step 6: Final answer
    x = 5,294.14

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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.