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Finding the Fourth Proportional to 4,804.11, 7,206.08 and 1,683.25

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Solution

The fourth proportional to 4,804.11, 7,206.08 and 1,683.25 is: 2,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.11 : 7,206.08 = 1,683.25 : x
  2. Step 2: Convert to fraction form
    4,804.11/7,206.08 = 1,683.25/x
  3. Step 3: Cross multiply
    4,804.11x = 7,206.08 × 1,683.25
  4. Step 4: Simplify right side
    4,804.11x = 12,129,607.73
  5. Step 5: Solve for x
    x = 12,129,607.73/4,804.11
  6. Step 6: Final answer
    x = 2,524.84

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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.