Home / 5,442.10-8,164.50-1,546.46

Finding the Fourth Proportional to 5,442.10, 8,164.50 and 1,546.46

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Solution

The fourth proportional to 5,442.10, 8,164.50 and 1,546.46 is: 2,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.10 : 8,164.50 = 1,546.46 : x
  2. Step 2: Convert to fraction form
    5,442.10/8,164.50 = 1,546.46/x
  3. Step 3: Cross multiply
    5,442.10x = 8,164.50 × 1,546.46
  4. Step 4: Simplify right side
    5,442.10x = 12,626,072.67
  5. Step 5: Solve for x
    x = 12,626,072.67/5,442.10
  6. Step 6: Final answer
    x = 2,320.07

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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.