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Finding the Fourth Proportional to 5,698, 8,544.94 and 2,411.36

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Solution

The fourth proportional to 5,698, 8,544.94 and 2,411.36 is: 3,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698 : 8,544.94 = 2,411.36 : x
  2. Step 2: Convert to fraction form
    5,698/8,544.94 = 2,411.36/x
  3. Step 3: Cross multiply
    5,698x = 8,544.94 × 2,411.36
  4. Step 4: Simplify right side
    5,698x = 20,604,926.52
  5. Step 5: Solve for x
    x = 20,604,926.52/5,698
  6. Step 6: Final answer
    x = 3,616.17

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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.