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Finding the Fourth Proportional to 3,533.52, 4,871.52 and 3,034

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Solution

The fourth proportional to 3,533.52, 4,871.52 and 3,034 is: 4,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.52 : 4,871.52 = 3,034 : x
  2. Step 2: Convert to fraction form
    3,533.52/4,871.52 = 3,034/x
  3. Step 3: Cross multiply
    3,533.52x = 4,871.52 × 3,034
  4. Step 4: Simplify right side
    3,533.52x = 14,780,191.68
  5. Step 5: Solve for x
    x = 14,780,191.68/3,533.52
  6. Step 6: Final answer
    x = 4,182.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.