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Finding the Fourth Proportional to 5,314.44, 7,334 and 2,924.53

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Solution

The fourth proportional to 5,314.44, 7,334 and 2,924.53 is: 4,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.44 : 7,334 = 2,924.53 : x
  2. Step 2: Convert to fraction form
    5,314.44/7,334 = 2,924.53/x
  3. Step 3: Cross multiply
    5,314.44x = 7,334 × 2,924.53
  4. Step 4: Simplify right side
    5,314.44x = 21,448,503.02
  5. Step 5: Solve for x
    x = 21,448,503.02/5,314.44
  6. Step 6: Final answer
    x = 4,035.89

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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.