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Finding the Fourth Proportional to 3,083.16, 4,624.03 and 891.40

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Solution

The fourth proportional to 3,083.16, 4,624.03 and 891.40 is: 1,336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.16 : 4,624.03 = 891.40 : x
  2. Step 2: Convert to fraction form
    3,083.16/4,624.03 = 891.40/x
  3. Step 3: Cross multiply
    3,083.16x = 4,624.03 × 891.40
  4. Step 4: Simplify right side
    3,083.16x = 4,121,860.34
  5. Step 5: Solve for x
    x = 4,121,860.34/3,083.16
  6. Step 6: Final answer
    x = 1,336.89

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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.