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Finding the Fourth Proportional to 3,460, 5,190.84 and 1,151.50

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Solution

The fourth proportional to 3,460, 5,190.84 and 1,151.50 is: 1,727.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460 : 5,190.84 = 1,151.50 : x
  2. Step 2: Convert to fraction form
    3,460/5,190.84 = 1,151.50/x
  3. Step 3: Cross multiply
    3,460x = 5,190.84 × 1,151.50
  4. Step 4: Simplify right side
    3,460x = 5,977,252.26
  5. Step 5: Solve for x
    x = 5,977,252.26/3,460
  6. Step 6: Final answer
    x = 1,727.53

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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.