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Finding the Fourth Proportional to 5,735.96, 8,603.95 and 2,038.19

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Solution

The fourth proportional to 5,735.96, 8,603.95 and 2,038.19 is: 3,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.96 : 8,603.95 = 2,038.19 : x
  2. Step 2: Convert to fraction form
    5,735.96/8,603.95 = 2,038.19/x
  3. Step 3: Cross multiply
    5,735.96x = 8,603.95 × 2,038.19
  4. Step 4: Simplify right side
    5,735.96x = 17,536,444.38
  5. Step 5: Solve for x
    x = 17,536,444.38/5,735.96
  6. Step 6: Final answer
    x = 3,057.28

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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.