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Finding the Fourth Proportional to 4,298, 6,449.88 and 1,562

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Solution

The fourth proportional to 4,298, 6,449.88 and 1,562 is: 2,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298 : 6,449.88 = 1,562 : x
  2. Step 2: Convert to fraction form
    4,298/6,449.88 = 1,562/x
  3. Step 3: Cross multiply
    4,298x = 6,449.88 × 1,562
  4. Step 4: Simplify right side
    4,298x = 10,074,712.56
  5. Step 5: Solve for x
    x = 10,074,712.56/4,298
  6. Step 6: Final answer
    x = 2,344.05

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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.