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Finding the Fourth Proportional to 4,007.58, 6,012.69 and 1,409.94

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Solution

The fourth proportional to 4,007.58, 6,012.69 and 1,409.94 is: 2,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.58 : 6,012.69 = 1,409.94 : x
  2. Step 2: Convert to fraction form
    4,007.58/6,012.69 = 1,409.94/x
  3. Step 3: Cross multiply
    4,007.58x = 6,012.69 × 1,409.94
  4. Step 4: Simplify right side
    4,007.58x = 8,477,532.14
  5. Step 5: Solve for x
    x = 8,477,532.14/4,007.58
  6. Step 6: Final answer
    x = 2,115.37

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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.