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Finding the Fourth Proportional to 5,325.48, 7,989.84 and 1,863

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Solution

The fourth proportional to 5,325.48, 7,989.84 and 1,863 is: 2,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.48 : 7,989.84 = 1,863 : x
  2. Step 2: Convert to fraction form
    5,325.48/7,989.84 = 1,863/x
  3. Step 3: Cross multiply
    5,325.48x = 7,989.84 × 1,863
  4. Step 4: Simplify right side
    5,325.48x = 14,885,071.92
  5. Step 5: Solve for x
    x = 14,885,071.92/5,325.48
  6. Step 6: Final answer
    x = 2,795.07

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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.