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Finding the Fourth Proportional to 5,076.90, 7,615.15 and 1,614.02

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Solution

The fourth proportional to 5,076.90, 7,615.15 and 1,614.02 is: 2,420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.90 : 7,615.15 = 1,614.02 : x
  2. Step 2: Convert to fraction form
    5,076.90/7,615.15 = 1,614.02/x
  3. Step 3: Cross multiply
    5,076.90x = 7,615.15 × 1,614.02
  4. Step 4: Simplify right side
    5,076.90x = 12,291,004.40
  5. Step 5: Solve for x
    x = 12,291,004.40/5,076.90
  6. Step 6: Final answer
    x = 2,420.97

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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.