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Finding the Fourth Proportional to 3,459, 5,190.66 and 1,407

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Solution

The fourth proportional to 3,459, 5,190.66 and 1,407 is: 2,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459 : 5,190.66 = 1,407 : x
  2. Step 2: Convert to fraction form
    3,459/5,190.66 = 1,407/x
  3. Step 3: Cross multiply
    3,459x = 5,190.66 × 1,407
  4. Step 4: Simplify right side
    3,459x = 7,303,258.62
  5. Step 5: Solve for x
    x = 7,303,258.62/3,459
  6. Step 6: Final answer
    x = 2,111.38

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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.