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Finding the Fourth Proportional to 5,666.25, 8,502.40 and 4,119.05

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Solution

The fourth proportional to 5,666.25, 8,502.40 and 4,119.05 is: 6,180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.25 : 8,502.40 = 4,119.05 : x
  2. Step 2: Convert to fraction form
    5,666.25/8,502.40 = 4,119.05/x
  3. Step 3: Cross multiply
    5,666.25x = 8,502.40 × 4,119.05
  4. Step 4: Simplify right side
    5,666.25x = 35,021,837.12
  5. Step 5: Solve for x
    x = 35,021,837.12/5,666.25
  6. Step 6: Final answer
    x = 6,180.77

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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.