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Finding the Fourth Proportional to 3,798.86, 5,698.29 and 1,202

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Solution

The fourth proportional to 3,798.86, 5,698.29 and 1,202 is: 1,803

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.86 : 5,698.29 = 1,202 : x
  2. Step 2: Convert to fraction form
    3,798.86/5,698.29 = 1,202/x
  3. Step 3: Cross multiply
    3,798.86x = 5,698.29 × 1,202
  4. Step 4: Simplify right side
    3,798.86x = 6,849,344.58
  5. Step 5: Solve for x
    x = 6,849,344.58/3,798.86
  6. Step 6: Final answer
    x = 1,803

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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.