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Finding the Fourth Proportional to 4,388.61, 6,057.72 and 3,494.00

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Solution

The fourth proportional to 4,388.61, 6,057.72 and 3,494.00 is: 4,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,388.61 : 6,057.72 = 3,494.00 : x
  2. Step 2: Convert to fraction form
    4,388.61/6,057.72 = 3,494.00/x
  3. Step 3: Cross multiply
    4,388.61x = 6,057.72 × 3,494.00
  4. Step 4: Simplify right side
    4,388.61x = 21,165,643.39
  5. Step 5: Solve for x
    x = 21,165,643.39/4,388.61
  6. Step 6: Final answer
    x = 4,822.86

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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.