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Finding the Fourth Proportional to 5,717, 8,575.98 and 1,613

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Solution

The fourth proportional to 5,717, 8,575.98 and 1,613 is: 2,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717 : 8,575.98 = 1,613 : x
  2. Step 2: Convert to fraction form
    5,717/8,575.98 = 1,613/x
  3. Step 3: Cross multiply
    5,717x = 8,575.98 × 1,613
  4. Step 4: Simplify right side
    5,717x = 13,833,055.74
  5. Step 5: Solve for x
    x = 13,833,055.74/5,717
  6. Step 6: Final answer
    x = 2,419.64

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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.