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Finding the Fourth Proportional to 3,533.72, 5,301.48 and 1,684.80

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Solution

The fourth proportional to 3,533.72, 5,301.48 and 1,684.80 is: 2,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.72 : 5,301.48 = 1,684.80 : x
  2. Step 2: Convert to fraction form
    3,533.72/5,301.48 = 1,684.80/x
  3. Step 3: Cross multiply
    3,533.72x = 5,301.48 × 1,684.80
  4. Step 4: Simplify right side
    3,533.72x = 8,931,933.50
  5. Step 5: Solve for x
    x = 8,931,933.50/3,533.72
  6. Step 6: Final answer
    x = 2,527.63

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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.