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Finding the Fourth Proportional to 3,205.04, 4,774.69 and 3,087.49

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Solution

The fourth proportional to 3,205.04, 4,774.69 and 3,087.49 is: 4,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.04 : 4,774.69 = 3,087.49 : x
  2. Step 2: Convert to fraction form
    3,205.04/4,774.69 = 3,087.49/x
  3. Step 3: Cross multiply
    3,205.04x = 4,774.69 × 3,087.49
  4. Step 4: Simplify right side
    3,205.04x = 14,741,807.63
  5. Step 5: Solve for x
    x = 14,741,807.63/3,205.04
  6. Step 6: Final answer
    x = 4,599.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.