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Finding the Fourth Proportional to 3,338, 4,606.36 and 1,846.05

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Solution

The fourth proportional to 3,338, 4,606.36 and 1,846.05 is: 2,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338 : 4,606.36 = 1,846.05 : x
  2. Step 2: Convert to fraction form
    3,338/4,606.36 = 1,846.05/x
  3. Step 3: Cross multiply
    3,338x = 4,606.36 × 1,846.05
  4. Step 4: Simplify right side
    3,338x = 8,503,570.88
  5. Step 5: Solve for x
    x = 8,503,570.88/3,338
  6. Step 6: Final answer
    x = 2,547.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.