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Finding the Fourth Proportional to 4,806.36, 7,204.86 and 2,341.08

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Solution

The fourth proportional to 4,806.36, 7,204.86 and 2,341.08 is: 3,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.36 : 7,204.86 = 2,341.08 : x
  2. Step 2: Convert to fraction form
    4,806.36/7,204.86 = 2,341.08/x
  3. Step 3: Cross multiply
    4,806.36x = 7,204.86 × 2,341.08
  4. Step 4: Simplify right side
    4,806.36x = 16,867,153.65
  5. Step 5: Solve for x
    x = 16,867,153.65/4,806.36
  6. Step 6: Final answer
    x = 3,509.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.