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Finding the Fourth Proportional to 5,693.81, 7,857.99 and 3,569.67

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Solution

The fourth proportional to 5,693.81, 7,857.99 and 3,569.67 is: 4,926.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.81 : 7,857.99 = 3,569.67 : x
  2. Step 2: Convert to fraction form
    5,693.81/7,857.99 = 3,569.67/x
  3. Step 3: Cross multiply
    5,693.81x = 7,857.99 × 3,569.67
  4. Step 4: Simplify right side
    5,693.81x = 28,050,431.16
  5. Step 5: Solve for x
    x = 28,050,431.16/5,693.81
  6. Step 6: Final answer
    x = 4,926.48

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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.