Home / 4,199-6,298.23-1,733.18

Finding the Fourth Proportional to 4,199, 6,298.23 and 1,733.18

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Solution

The fourth proportional to 4,199, 6,298.23 and 1,733.18 is: 2,599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199 : 6,298.23 = 1,733.18 : x
  2. Step 2: Convert to fraction form
    4,199/6,298.23 = 1,733.18/x
  3. Step 3: Cross multiply
    4,199x = 6,298.23 × 1,733.18
  4. Step 4: Simplify right side
    4,199x = 10,915,966.27
  5. Step 5: Solve for x
    x = 10,915,966.27/4,199
  6. Step 6: Final answer
    x = 2,599.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.