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Finding the Fourth Proportional to 3,482.66, 5,222.68 and 1,401.96

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Solution

The fourth proportional to 3,482.66, 5,222.68 and 1,401.96 is: 2,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.66 : 5,222.68 = 1,401.96 : x
  2. Step 2: Convert to fraction form
    3,482.66/5,222.68 = 1,401.96/x
  3. Step 3: Cross multiply
    3,482.66x = 5,222.68 × 1,401.96
  4. Step 4: Simplify right side
    3,482.66x = 7,321,955.33
  5. Step 5: Solve for x
    x = 7,321,955.33/3,482.66
  6. Step 6: Final answer
    x = 2,102.40

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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.