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Finding the Fourth Proportional to 5,697.73, 7,862.59 and 4,205.10

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Solution

The fourth proportional to 5,697.73, 7,862.59 and 4,205.10 is: 5,802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.73 : 7,862.59 = 4,205.10 : x
  2. Step 2: Convert to fraction form
    5,697.73/7,862.59 = 4,205.10/x
  3. Step 3: Cross multiply
    5,697.73x = 7,862.59 × 4,205.10
  4. Step 4: Simplify right side
    5,697.73x = 33,062,977.21
  5. Step 5: Solve for x
    x = 33,062,977.21/5,697.73
  6. Step 6: Final answer
    x = 5,802.83

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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.