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Finding the Fourth Proportional to 3,533.12, 5,296.04 and 1,681.48

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Solution

The fourth proportional to 3,533.12, 5,296.04 and 1,681.48 is: 2,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.12 : 5,296.04 = 1,681.48 : x
  2. Step 2: Convert to fraction form
    3,533.12/5,296.04 = 1,681.48/x
  3. Step 3: Cross multiply
    3,533.12x = 5,296.04 × 1,681.48
  4. Step 4: Simplify right side
    3,533.12x = 8,905,185.34
  5. Step 5: Solve for x
    x = 8,905,185.34/3,533.12
  6. Step 6: Final answer
    x = 2,520.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.