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Finding the Fourth Proportional to 3,411, 5,117.22 and 1,102.68

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Solution

The fourth proportional to 3,411, 5,117.22 and 1,102.68 is: 1,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411 : 5,117.22 = 1,102.68 : x
  2. Step 2: Convert to fraction form
    3,411/5,117.22 = 1,102.68/x
  3. Step 3: Cross multiply
    3,411x = 5,117.22 × 1,102.68
  4. Step 4: Simplify right side
    3,411x = 5,642,656.15
  5. Step 5: Solve for x
    x = 5,642,656.15/3,411
  6. Step 6: Final answer
    x = 1,654.25

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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.