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Finding the Fourth Proportional to 3,798.06, 5,691.57 and 1,848.06

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Solution

The fourth proportional to 3,798.06, 5,691.57 and 1,848.06 is: 2,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.06 : 5,691.57 = 1,848.06 : x
  2. Step 2: Convert to fraction form
    3,798.06/5,691.57 = 1,848.06/x
  3. Step 3: Cross multiply
    3,798.06x = 5,691.57 × 1,848.06
  4. Step 4: Simplify right side
    3,798.06x = 10,518,362.85
  5. Step 5: Solve for x
    x = 10,518,362.85/3,798.06
  6. Step 6: Final answer
    x = 2,769.40

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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.