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Finding the Fourth Proportional to 3,316.33, 4,975.51 and 1,856.51

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Solution

The fourth proportional to 3,316.33, 4,975.51 and 1,856.51 is: 2,785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.33 : 4,975.51 = 1,856.51 : x
  2. Step 2: Convert to fraction form
    3,316.33/4,975.51 = 1,856.51/x
  3. Step 3: Cross multiply
    3,316.33x = 4,975.51 × 1,856.51
  4. Step 4: Simplify right side
    3,316.33x = 9,237,084.07
  5. Step 5: Solve for x
    x = 9,237,084.07/3,316.33
  6. Step 6: Final answer
    x = 2,785.33

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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.