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Finding the Fourth Proportional to 5,748, 8,623.76 and 3,994.80

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Solution

The fourth proportional to 5,748, 8,623.76 and 3,994.80 is: 5,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748 : 8,623.76 = 3,994.80 : x
  2. Step 2: Convert to fraction form
    5,748/8,623.76 = 3,994.80/x
  3. Step 3: Cross multiply
    5,748x = 8,623.76 × 3,994.80
  4. Step 4: Simplify right side
    5,748x = 34,450,196.45
  5. Step 5: Solve for x
    x = 34,450,196.45/5,748
  6. Step 6: Final answer
    x = 5,993.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.