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Finding the Fourth Proportional to 4,804.36, 7,206.76 and 1,684.68

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Solution

The fourth proportional to 4,804.36, 7,206.76 and 1,684.68 is: 2,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.36 : 7,206.76 = 1,684.68 : x
  2. Step 2: Convert to fraction form
    4,804.36/7,206.76 = 1,684.68/x
  3. Step 3: Cross multiply
    4,804.36x = 7,206.76 × 1,684.68
  4. Step 4: Simplify right side
    4,804.36x = 12,141,084.44
  5. Step 5: Solve for x
    x = 12,141,084.44/4,804.36
  6. Step 6: Final answer
    x = 2,527.10

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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.