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Finding the Fourth Proportional to 4,221.61, 5,825.82 and 2,358.61

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Solution

The fourth proportional to 4,221.61, 5,825.82 and 2,358.61 is: 3,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.61 : 5,825.82 = 2,358.61 : x
  2. Step 2: Convert to fraction form
    4,221.61/5,825.82 = 2,358.61/x
  3. Step 3: Cross multiply
    4,221.61x = 5,825.82 × 2,358.61
  4. Step 4: Simplify right side
    4,221.61x = 13,740,822.75
  5. Step 5: Solve for x
    x = 13,740,822.75/4,221.61
  6. Step 6: Final answer
    x = 3,254.88

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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.