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Finding the Fourth Proportional to 5,282.67, 7,289.75 and 2,924.63

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Solution

The fourth proportional to 5,282.67, 7,289.75 and 2,924.63 is: 4,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.67 : 7,289.75 = 2,924.63 : x
  2. Step 2: Convert to fraction form
    5,282.67/7,289.75 = 2,924.63/x
  3. Step 3: Cross multiply
    5,282.67x = 7,289.75 × 2,924.63
  4. Step 4: Simplify right side
    5,282.67x = 21,319,792.41
  5. Step 5: Solve for x
    x = 21,319,792.41/5,282.67
  6. Step 6: Final answer
    x = 4,035.80

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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.