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Finding the Fourth Proportional to 4,219.58, 5,823.16 and 2,648.54

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Solution

The fourth proportional to 4,219.58, 5,823.16 and 2,648.54 is: 3,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.58 : 5,823.16 = 2,648.54 : x
  2. Step 2: Convert to fraction form
    4,219.58/5,823.16 = 2,648.54/x
  3. Step 3: Cross multiply
    4,219.58x = 5,823.16 × 2,648.54
  4. Step 4: Simplify right side
    4,219.58x = 15,422,836.45
  5. Step 5: Solve for x
    x = 15,422,836.45/4,219.58
  6. Step 6: Final answer
    x = 3,655.07

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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.