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Finding the Fourth Proportional to 5,792.12, 8,683.70 and 3,614.84

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Solution

The fourth proportional to 5,792.12, 8,683.70 and 3,614.84 is: 5,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.12 : 8,683.70 = 3,614.84 : x
  2. Step 2: Convert to fraction form
    5,792.12/8,683.70 = 3,614.84/x
  3. Step 3: Cross multiply
    5,792.12x = 8,683.70 × 3,614.84
  4. Step 4: Simplify right side
    5,792.12x = 31,390,186.11
  5. Step 5: Solve for x
    x = 31,390,186.11/5,792.12
  6. Step 6: Final answer
    x = 5,419.46

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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.