Home / 4,643-6,965.22-1,522.28

Finding the Fourth Proportional to 4,643, 6,965.22 and 1,522.28

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Solution

The fourth proportional to 4,643, 6,965.22 and 1,522.28 is: 2,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643 : 6,965.22 = 1,522.28 : x
  2. Step 2: Convert to fraction form
    4,643/6,965.22 = 1,522.28/x
  3. Step 3: Cross multiply
    4,643x = 6,965.22 × 1,522.28
  4. Step 4: Simplify right side
    4,643x = 10,603,015.10
  5. Step 5: Solve for x
    x = 10,603,015.10/4,643
  6. Step 6: Final answer
    x = 2,283.66

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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.