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Finding the Fourth Proportional to 5,788.11, 8,683.53 and 1,892.50

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Solution

The fourth proportional to 5,788.11, 8,683.53 and 1,892.50 is: 2,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.11 : 8,683.53 = 1,892.50 : x
  2. Step 2: Convert to fraction form
    5,788.11/8,683.53 = 1,892.50/x
  3. Step 3: Cross multiply
    5,788.11x = 8,683.53 × 1,892.50
  4. Step 4: Simplify right side
    5,788.11x = 16,433,580.53
  5. Step 5: Solve for x
    x = 16,433,580.53/5,788.11
  6. Step 6: Final answer
    x = 2,839.20

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Why These Related Problems?

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