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Finding the Fourth Proportional to 4,794.65, 7,182.40 and 3,809.13

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Solution

The fourth proportional to 4,794.65, 7,182.40 and 3,809.13 is: 5,706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,794.65 : 7,182.40 = 3,809.13 : x
  2. Step 2: Convert to fraction form
    4,794.65/7,182.40 = 3,809.13/x
  3. Step 3: Cross multiply
    4,794.65x = 7,182.40 × 3,809.13
  4. Step 4: Simplify right side
    4,794.65x = 27,358,676.27
  5. Step 5: Solve for x
    x = 27,358,676.27/4,794.65
  6. Step 6: Final answer
    x = 5,706.08

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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.