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Finding the Fourth Proportional to 3,802.56, 5,698.32 and 1,852.56

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Solution

The fourth proportional to 3,802.56, 5,698.32 and 1,852.56 is: 2,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.56 : 5,698.32 = 1,852.56 : x
  2. Step 2: Convert to fraction form
    3,802.56/5,698.32 = 1,852.56/x
  3. Step 3: Cross multiply
    3,802.56x = 5,698.32 × 1,852.56
  4. Step 4: Simplify right side
    3,802.56x = 10,556,479.70
  5. Step 5: Solve for x
    x = 10,556,479.70/3,802.56
  6. Step 6: Final answer
    x = 2,776.15

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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.