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Finding the Fourth Proportional to 5,203.52, 7,182.84 and 3,533.57

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Solution

The fourth proportional to 5,203.52, 7,182.84 and 3,533.57 is: 4,877.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.52 : 7,182.84 = 3,533.57 : x
  2. Step 2: Convert to fraction form
    5,203.52/7,182.84 = 3,533.57/x
  3. Step 3: Cross multiply
    5,203.52x = 7,182.84 × 3,533.57
  4. Step 4: Simplify right side
    5,203.52x = 25,381,067.94
  5. Step 5: Solve for x
    x = 25,381,067.94/5,203.52
  6. Step 6: Final answer
    x = 4,877.67

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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.