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Finding the Fourth Proportional to 5,688.33, 7,850.12 and 4,742.52

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Solution

The fourth proportional to 5,688.33, 7,850.12 and 4,742.52 is: 6,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.33 : 7,850.12 = 4,742.52 : x
  2. Step 2: Convert to fraction form
    5,688.33/7,850.12 = 4,742.52/x
  3. Step 3: Cross multiply
    5,688.33x = 7,850.12 × 4,742.52
  4. Step 4: Simplify right side
    5,688.33x = 37,229,364.19
  5. Step 5: Solve for x
    x = 37,229,364.19/5,688.33
  6. Step 6: Final answer
    x = 6,544.87

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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.