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Finding the Fourth Proportional to 4,596.65, 6,905.22 and 2,842.94

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Solution

The fourth proportional to 4,596.65, 6,905.22 and 2,842.94 is: 4,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.65 : 6,905.22 = 2,842.94 : x
  2. Step 2: Convert to fraction form
    4,596.65/6,905.22 = 2,842.94/x
  3. Step 3: Cross multiply
    4,596.65x = 6,905.22 × 2,842.94
  4. Step 4: Simplify right side
    4,596.65x = 19,631,148.74
  5. Step 5: Solve for x
    x = 19,631,148.74/4,596.65
  6. Step 6: Final answer
    x = 4,270.75

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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.