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Finding the Fourth Proportional to 5,775.34, 8,661.56 and 1,614.27

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Solution

The fourth proportional to 5,775.34, 8,661.56 and 1,614.27 is: 2,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.34 : 8,661.56 = 1,614.27 : x
  2. Step 2: Convert to fraction form
    5,775.34/8,661.56 = 1,614.27/x
  3. Step 3: Cross multiply
    5,775.34x = 8,661.56 × 1,614.27
  4. Step 4: Simplify right side
    5,775.34x = 13,982,096.46
  5. Step 5: Solve for x
    x = 13,982,096.46/5,775.34
  6. Step 6: Final answer
    x = 2,421.00

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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.