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Finding the Fourth Proportional to 3,409.76, 5,113.76 and 944.80

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Solution

The fourth proportional to 3,409.76, 5,113.76 and 944.80 is: 1,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.76 : 5,113.76 = 944.80 : x
  2. Step 2: Convert to fraction form
    3,409.76/5,113.76 = 944.80/x
  3. Step 3: Cross multiply
    3,409.76x = 5,113.76 × 944.80
  4. Step 4: Simplify right side
    3,409.76x = 4,831,480.45
  5. Step 5: Solve for x
    x = 4,831,480.45/3,409.76
  6. Step 6: Final answer
    x = 1,416.96

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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.