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Finding the Fourth Proportional to 4,552.89, 6,283.05 and 2,784.12

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Solution

The fourth proportional to 4,552.89, 6,283.05 and 2,784.12 is: 3,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.89 : 6,283.05 = 2,784.12 : x
  2. Step 2: Convert to fraction form
    4,552.89/6,283.05 = 2,784.12/x
  3. Step 3: Cross multiply
    4,552.89x = 6,283.05 × 2,784.12
  4. Step 4: Simplify right side
    4,552.89x = 17,492,765.17
  5. Step 5: Solve for x
    x = 17,492,765.17/4,552.89
  6. Step 6: Final answer
    x = 3,842.12

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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.