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Finding the Fourth Proportional to 4,627.90, 6,956.89 and 3,713.46

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Solution

The fourth proportional to 4,627.90, 6,956.89 and 3,713.46 is: 5,582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.90 : 6,956.89 = 3,713.46 : x
  2. Step 2: Convert to fraction form
    4,627.90/6,956.89 = 3,713.46/x
  3. Step 3: Cross multiply
    4,627.90x = 6,956.89 × 3,713.46
  4. Step 4: Simplify right side
    4,627.90x = 25,834,136.50
  5. Step 5: Solve for x
    x = 25,834,136.50/4,627.90
  6. Step 6: Final answer
    x = 5,582.26

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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.