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Finding the Fourth Proportional to 4,696.50, 7,043.49 and 1,409.62

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Solution

The fourth proportional to 4,696.50, 7,043.49 and 1,409.62 is: 2,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.50 : 7,043.49 = 1,409.62 : x
  2. Step 2: Convert to fraction form
    4,696.50/7,043.49 = 1,409.62/x
  3. Step 3: Cross multiply
    4,696.50x = 7,043.49 × 1,409.62
  4. Step 4: Simplify right side
    4,696.50x = 9,928,626.77
  5. Step 5: Solve for x
    x = 9,928,626.77/4,696.50
  6. Step 6: Final answer
    x = 2,114.05

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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.