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Finding the Fourth Proportional to 4,065.06, 5,609.79 and 2,202.06

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Solution

The fourth proportional to 4,065.06, 5,609.79 and 2,202.06 is: 3,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.06 : 5,609.79 = 2,202.06 : x
  2. Step 2: Convert to fraction form
    4,065.06/5,609.79 = 2,202.06/x
  3. Step 3: Cross multiply
    4,065.06x = 5,609.79 × 2,202.06
  4. Step 4: Simplify right side
    4,065.06x = 12,353,094.17
  5. Step 5: Solve for x
    x = 12,353,094.17/4,065.06
  6. Step 6: Final answer
    x = 3,038.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.