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Finding the Fourth Proportional to 3,798.94, 5,699.33 and 1,850.70

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Solution

The fourth proportional to 3,798.94, 5,699.33 and 1,850.70 is: 2,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.94 : 5,699.33 = 1,850.70 : x
  2. Step 2: Convert to fraction form
    3,798.94/5,699.33 = 1,850.70/x
  3. Step 3: Cross multiply
    3,798.94x = 5,699.33 × 1,850.70
  4. Step 4: Simplify right side
    3,798.94x = 10,547,750.03
  5. Step 5: Solve for x
    x = 10,547,750.03/3,798.94
  6. Step 6: Final answer
    x = 2,776.50

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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.