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Finding the Fourth Proportional to 3,533.52, 5,300.29 and 2,071.64

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Solution

The fourth proportional to 3,533.52, 5,300.29 and 2,071.64 is: 3,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.52 : 5,300.29 = 2,071.64 : x
  2. Step 2: Convert to fraction form
    3,533.52/5,300.29 = 2,071.64/x
  3. Step 3: Cross multiply
    3,533.52x = 5,300.29 × 2,071.64
  4. Step 4: Simplify right side
    3,533.52x = 10,980,308.62
  5. Step 5: Solve for x
    x = 10,980,308.62/3,533.52
  6. Step 6: Final answer
    x = 3,107.47

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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.