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Finding the Fourth Proportional to 3,533.76, 4,872 and 2,353.92

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Solution

The fourth proportional to 3,533.76, 4,872 and 2,353.92 is: 3,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.76 : 4,872 = 2,353.92 : x
  2. Step 2: Convert to fraction form
    3,533.76/4,872 = 2,353.92/x
  3. Step 3: Cross multiply
    3,533.76x = 4,872 × 2,353.92
  4. Step 4: Simplify right side
    3,533.76x = 11,468,298.24
  5. Step 5: Solve for x
    x = 11,468,298.24/3,533.76
  6. Step 6: Final answer
    x = 3,245.35

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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.