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Finding the Fourth Proportional to 4,738.33, 6,544.02 and 3,688.75

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Solution

The fourth proportional to 4,738.33, 6,544.02 and 3,688.75 is: 5,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.33 : 6,544.02 = 3,688.75 : x
  2. Step 2: Convert to fraction form
    4,738.33/6,544.02 = 3,688.75/x
  3. Step 3: Cross multiply
    4,738.33x = 6,544.02 × 3,688.75
  4. Step 4: Simplify right side
    4,738.33x = 24,139,253.78
  5. Step 5: Solve for x
    x = 24,139,253.78/4,738.33
  6. Step 6: Final answer
    x = 5,094.46

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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.