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Finding the Fourth Proportional to 3,526.04, 5,285.28 and 1,676

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Solution

The fourth proportional to 3,526.04, 5,285.28 and 1,676 is: 2,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.04 : 5,285.28 = 1,676 : x
  2. Step 2: Convert to fraction form
    3,526.04/5,285.28 = 1,676/x
  3. Step 3: Cross multiply
    3,526.04x = 5,285.28 × 1,676
  4. Step 4: Simplify right side
    3,526.04x = 8,858,129.28
  5. Step 5: Solve for x
    x = 8,858,129.28/3,526.04
  6. Step 6: Final answer
    x = 2,512.20

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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.