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Finding the Fourth Proportional to 5,076.77, 7,616.35 and 1,614.02

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Solution

The fourth proportional to 5,076.77, 7,616.35 and 1,614.02 is: 2,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.77 : 7,616.35 = 1,614.02 : x
  2. Step 2: Convert to fraction form
    5,076.77/7,616.35 = 1,614.02/x
  3. Step 3: Cross multiply
    5,076.77x = 7,616.35 × 1,614.02
  4. Step 4: Simplify right side
    5,076.77x = 12,292,899.11
  5. Step 5: Solve for x
    x = 12,292,899.11/5,076.77
  6. Step 6: Final answer
    x = 2,421.40

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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.