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Finding the Fourth Proportional to 5,690.57, 7,848.90 and 4,628.36

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Solution

The fourth proportional to 5,690.57, 7,848.90 and 4,628.36 is: 6,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.57 : 7,848.90 = 4,628.36 : x
  2. Step 2: Convert to fraction form
    5,690.57/7,848.90 = 4,628.36/x
  3. Step 3: Cross multiply
    5,690.57x = 7,848.90 × 4,628.36
  4. Step 4: Simplify right side
    5,690.57x = 36,327,495.56
  5. Step 5: Solve for x
    x = 36,327,495.56/5,690.57
  6. Step 6: Final answer
    x = 6,383.81

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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.