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Finding the Fourth Proportional to 4,221.44, 5,825.58 and 2,358.44

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Solution

The fourth proportional to 4,221.44, 5,825.58 and 2,358.44 is: 3,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.44 : 5,825.58 = 2,358.44 : x
  2. Step 2: Convert to fraction form
    4,221.44/5,825.58 = 2,358.44/x
  3. Step 3: Cross multiply
    4,221.44x = 5,825.58 × 2,358.44
  4. Step 4: Simplify right side
    4,221.44x = 13,739,280.90
  5. Step 5: Solve for x
    x = 13,739,280.90/4,221.44
  6. Step 6: Final answer
    x = 3,254.64

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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.