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Finding the Fourth Proportional to 4,973.12, 6,858.24 and 3,927.68

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Solution

The fourth proportional to 4,973.12, 6,858.24 and 3,927.68 is: 5,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.12 : 6,858.24 = 3,927.68 : x
  2. Step 2: Convert to fraction form
    4,973.12/6,858.24 = 3,927.68/x
  3. Step 3: Cross multiply
    4,973.12x = 6,858.24 × 3,927.68
  4. Step 4: Simplify right side
    4,973.12x = 26,936,972.08
  5. Step 5: Solve for x
    x = 26,936,972.08/4,973.12
  6. Step 6: Final answer
    x = 5,416.51

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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.