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Finding the Fourth Proportional to 5,613, 7,748.46 and 3,518.34

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Solution

The fourth proportional to 5,613, 7,748.46 and 3,518.34 is: 4,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613 : 7,748.46 = 3,518.34 : x
  2. Step 2: Convert to fraction form
    5,613/7,748.46 = 3,518.34/x
  3. Step 3: Cross multiply
    5,613x = 7,748.46 × 3,518.34
  4. Step 4: Simplify right side
    5,613x = 27,261,716.76
  5. Step 5: Solve for x
    x = 27,261,716.76/5,613
  6. Step 6: Final answer
    x = 4,856.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.