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Finding the Fourth Proportional to 5,057.81, 7,585.43 and 1,938.00

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Solution

The fourth proportional to 5,057.81, 7,585.43 and 1,938.00 is: 2,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.81 : 7,585.43 = 1,938.00 : x
  2. Step 2: Convert to fraction form
    5,057.81/7,585.43 = 1,938.00/x
  3. Step 3: Cross multiply
    5,057.81x = 7,585.43 × 1,938.00
  4. Step 4: Simplify right side
    5,057.81x = 14,700,582.10
  5. Step 5: Solve for x
    x = 14,700,582.10/5,057.81
  6. Step 6: Final answer
    x = 2,906.51

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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.