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Finding the Fourth Proportional to 5,774.34, 8,660.06 and 1,613.27

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Solution

The fourth proportional to 5,774.34, 8,660.06 and 1,613.27 is: 2,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.34 : 8,660.06 = 1,613.27 : x
  2. Step 2: Convert to fraction form
    5,774.34/8,660.06 = 1,613.27/x
  3. Step 3: Cross multiply
    5,774.34x = 8,660.06 × 1,613.27
  4. Step 4: Simplify right side
    5,774.34x = 13,970,994.99
  5. Step 5: Solve for x
    x = 13,970,994.99/5,774.34
  6. Step 6: Final answer
    x = 2,419.50

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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.