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Finding the Fourth Proportional to 5,164.46, 7,746.56 and 1,466.68

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Solution

The fourth proportional to 5,164.46, 7,746.56 and 1,466.68 is: 2,199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.46 : 7,746.56 = 1,466.68 : x
  2. Step 2: Convert to fraction form
    5,164.46/7,746.56 = 1,466.68/x
  3. Step 3: Cross multiply
    5,164.46x = 7,746.56 × 1,466.68
  4. Step 4: Simplify right side
    5,164.46x = 11,361,724.62
  5. Step 5: Solve for x
    x = 11,361,724.62/5,164.46
  6. Step 6: Final answer
    x = 2,199.98

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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.