Home / 4,053-6,074.91-1,586.82

Finding the Fourth Proportional to 4,053, 6,074.91 and 1,586.82

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Solution

The fourth proportional to 4,053, 6,074.91 and 1,586.82 is: 2,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053 : 6,074.91 = 1,586.82 : x
  2. Step 2: Convert to fraction form
    4,053/6,074.91 = 1,586.82/x
  3. Step 3: Cross multiply
    4,053x = 6,074.91 × 1,586.82
  4. Step 4: Simplify right side
    4,053x = 9,639,788.69
  5. Step 5: Solve for x
    x = 9,639,788.69/4,053
  6. Step 6: Final answer
    x = 2,378.43

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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.