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Finding the Fourth Proportional to 4,696.50, 7,043.70 and 1,409.82

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Solution

The fourth proportional to 4,696.50, 7,043.70 and 1,409.82 is: 2,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.50 : 7,043.70 = 1,409.82 : x
  2. Step 2: Convert to fraction form
    4,696.50/7,043.70 = 1,409.82/x
  3. Step 3: Cross multiply
    4,696.50x = 7,043.70 × 1,409.82
  4. Step 4: Simplify right side
    4,696.50x = 9,930,349.13
  5. Step 5: Solve for x
    x = 9,930,349.13/4,696.50
  6. Step 6: Final answer
    x = 2,114.41

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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.