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Finding the Fourth Proportional to 3,409.80, 5,101.90 and 3,102.60

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Solution

The fourth proportional to 3,409.80, 5,101.90 and 3,102.60 is: 4,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.80 : 5,101.90 = 3,102.60 : x
  2. Step 2: Convert to fraction form
    3,409.80/5,101.90 = 3,102.60/x
  3. Step 3: Cross multiply
    3,409.80x = 5,101.90 × 3,102.60
  4. Step 4: Simplify right side
    3,409.80x = 15,829,154.94
  5. Step 5: Solve for x
    x = 15,829,154.94/3,409.80
  6. Step 6: Final answer
    x = 4,642.25

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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.