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Finding the Fourth Proportional to 4,668.06, 6,441.93 and 2,678.53

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Solution

The fourth proportional to 4,668.06, 6,441.93 and 2,678.53 is: 3,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.06 : 6,441.93 = 2,678.53 : x
  2. Step 2: Convert to fraction form
    4,668.06/6,441.93 = 2,678.53/x
  3. Step 3: Cross multiply
    4,668.06x = 6,441.93 × 2,678.53
  4. Step 4: Simplify right side
    4,668.06x = 17,254,902.76
  5. Step 5: Solve for x
    x = 17,254,902.76/4,668.06
  6. Step 6: Final answer
    x = 3,696.38

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Why These Related Problems?

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