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Finding the Fourth Proportional to 4,211, 5,804.52 and 3,370.40

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Solution

The fourth proportional to 4,211, 5,804.52 and 3,370.40 is: 4,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211 : 5,804.52 = 3,370.40 : x
  2. Step 2: Convert to fraction form
    4,211/5,804.52 = 3,370.40/x
  3. Step 3: Cross multiply
    4,211x = 5,804.52 × 3,370.40
  4. Step 4: Simplify right side
    4,211x = 19,563,554.21
  5. Step 5: Solve for x
    x = 19,563,554.21/4,211
  6. Step 6: Final answer
    x = 4,645.82

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