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Finding the Fourth Proportional to 3,482.19, 5,222.37 and 1,533.94

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Solution

The fourth proportional to 3,482.19, 5,222.37 and 1,533.94 is: 2,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.19 : 5,222.37 = 1,533.94 : x
  2. Step 2: Convert to fraction form
    3,482.19/5,222.37 = 1,533.94/x
  3. Step 3: Cross multiply
    3,482.19x = 5,222.37 × 1,533.94
  4. Step 4: Simplify right side
    3,482.19x = 8,010,794.93
  5. Step 5: Solve for x
    x = 8,010,794.93/3,482.19
  6. Step 6: Final answer
    x = 2,300.50

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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.