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Finding the Fourth Proportional to 5,690.35, 7,846.70 and 4,493.35

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Solution

The fourth proportional to 5,690.35, 7,846.70 and 4,493.35 is: 6,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.35 : 7,846.70 = 4,493.35 : x
  2. Step 2: Convert to fraction form
    5,690.35/7,846.70 = 4,493.35/x
  3. Step 3: Cross multiply
    5,690.35x = 7,846.70 × 4,493.35
  4. Step 4: Simplify right side
    5,690.35x = 35,257,969.45
  5. Step 5: Solve for x
    x = 35,257,969.45/5,690.35
  6. Step 6: Final answer
    x = 6,196.10

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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.