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Finding the Fourth Proportional to 5,307.14, 7,323.74 and 2,949.26

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Solution

The fourth proportional to 5,307.14, 7,323.74 and 2,949.26 is: 4,069.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.14 : 7,323.74 = 2,949.26 : x
  2. Step 2: Convert to fraction form
    5,307.14/7,323.74 = 2,949.26/x
  3. Step 3: Cross multiply
    5,307.14x = 7,323.74 × 2,949.26
  4. Step 4: Simplify right side
    5,307.14x = 21,599,613.43
  5. Step 5: Solve for x
    x = 21,599,613.43/5,307.14
  6. Step 6: Final answer
    x = 4,069.92

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