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Finding the Fourth Proportional to 3,482.12, 5,225.24 and 1,403.12

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Solution

The fourth proportional to 3,482.12, 5,225.24 and 1,403.12 is: 2,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.12 : 5,225.24 = 1,403.12 : x
  2. Step 2: Convert to fraction form
    3,482.12/5,225.24 = 1,403.12/x
  3. Step 3: Cross multiply
    3,482.12x = 5,225.24 × 1,403.12
  4. Step 4: Simplify right side
    3,482.12x = 7,331,638.75
  5. Step 5: Solve for x
    x = 7,331,638.75/3,482.12
  6. Step 6: Final answer
    x = 2,105.51

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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.