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Finding the Fourth Proportional to 3,536.76, 5,303.70 and 1,346.04

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Solution

The fourth proportional to 3,536.76, 5,303.70 and 1,346.04 is: 2,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.76 : 5,303.70 = 1,346.04 : x
  2. Step 2: Convert to fraction form
    3,536.76/5,303.70 = 1,346.04/x
  3. Step 3: Cross multiply
    3,536.76x = 5,303.70 × 1,346.04
  4. Step 4: Simplify right side
    3,536.76x = 7,138,992.35
  5. Step 5: Solve for x
    x = 7,138,992.35/3,536.76
  6. Step 6: Final answer
    x = 2,018.51

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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.