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Finding the Fourth Proportional to 3,532.07, 5,298.23 and 935.03

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Solution

The fourth proportional to 3,532.07, 5,298.23 and 935.03 is: 1,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.07 : 5,298.23 = 935.03 : x
  2. Step 2: Convert to fraction form
    3,532.07/5,298.23 = 935.03/x
  3. Step 3: Cross multiply
    3,532.07x = 5,298.23 × 935.03
  4. Step 4: Simplify right side
    3,532.07x = 4,954,004.00
  5. Step 5: Solve for x
    x = 4,954,004.00/3,532.07
  6. Step 6: Final answer
    x = 1,402.58

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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.