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Finding the Fourth Proportional to 3,698.66, 5,547.92 and 1,233.66

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Solution

The fourth proportional to 3,698.66, 5,547.92 and 1,233.66 is: 1,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.66 : 5,547.92 = 1,233.66 : x
  2. Step 2: Convert to fraction form
    3,698.66/5,547.92 = 1,233.66/x
  3. Step 3: Cross multiply
    3,698.66x = 5,547.92 × 1,233.66
  4. Step 4: Simplify right side
    3,698.66x = 6,844,246.99
  5. Step 5: Solve for x
    x = 6,844,246.99/3,698.66
  6. Step 6: Final answer
    x = 1,850.47

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1.5x scale

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.