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Finding the Fourth Proportional to 6,409.50, 8,845.11 and 3,465.50

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Solution

The fourth proportional to 6,409.50, 8,845.11 and 3,465.50 is: 4,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.50 : 8,845.11 = 3,465.50 : x
  2. Step 2: Convert to fraction form
    6,409.50/8,845.11 = 3,465.50/x
  3. Step 3: Cross multiply
    6,409.50x = 8,845.11 × 3,465.50
  4. Step 4: Simplify right side
    6,409.50x = 30,652,728.71
  5. Step 5: Solve for x
    x = 30,652,728.71/6,409.50
  6. Step 6: Final answer
    x = 4,782.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.