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Finding the Fourth Proportional to 5,735.40, 8,598.47 and 2,035.61

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Solution

The fourth proportional to 5,735.40, 8,598.47 and 2,035.61 is: 3,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.40 : 8,598.47 = 2,035.61 : x
  2. Step 2: Convert to fraction form
    5,735.40/8,598.47 = 2,035.61/x
  3. Step 3: Cross multiply
    5,735.40x = 8,598.47 × 2,035.61
  4. Step 4: Simplify right side
    5,735.40x = 17,503,142.83
  5. Step 5: Solve for x
    x = 17,503,142.83/5,735.40
  6. Step 6: Final answer
    x = 3,051.77

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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.