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Finding the Fourth Proportional to 3,532.10, 5,298.18 and 935

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Solution

The fourth proportional to 3,532.10, 5,298.18 and 935 is: 1,402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.10 : 5,298.18 = 935 : x
  2. Step 2: Convert to fraction form
    3,532.10/5,298.18 = 935/x
  3. Step 3: Cross multiply
    3,532.10x = 5,298.18 × 935
  4. Step 4: Simplify right side
    3,532.10x = 4,953,798.30
  5. Step 5: Solve for x
    x = 4,953,798.30/3,532.10
  6. Step 6: Final answer
    x = 1,402.51

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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.