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Finding the Fourth Proportional to 4,008, 6,012.48 and 1,698.24

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Solution

The fourth proportional to 4,008, 6,012.48 and 1,698.24 is: 2,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,008 : 6,012.48 = 1,698.24 : x
  2. Step 2: Convert to fraction form
    4,008/6,012.48 = 1,698.24/x
  3. Step 3: Cross multiply
    4,008x = 6,012.48 × 1,698.24
  4. Step 4: Simplify right side
    4,008x = 10,210,634.04
  5. Step 5: Solve for x
    x = 10,210,634.04/4,008
  6. Step 6: Final answer
    x = 2,547.56

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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.