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Finding the Fourth Proportional to 3,536.96, 5,306.52 and 1,230.08

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Solution

The fourth proportional to 3,536.96, 5,306.52 and 1,230.08 is: 1,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.96 : 5,306.52 = 1,230.08 : x
  2. Step 2: Convert to fraction form
    3,536.96/5,306.52 = 1,230.08/x
  3. Step 3: Cross multiply
    3,536.96x = 5,306.52 × 1,230.08
  4. Step 4: Simplify right side
    3,536.96x = 6,527,444.12
  5. Step 5: Solve for x
    x = 6,527,444.12/3,536.96
  6. Step 6: Final answer
    x = 1,845.50

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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.