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Finding the Fourth Proportional to 5,416.94, 8,108.39 and 5,290.58

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Solution

The fourth proportional to 5,416.94, 8,108.39 and 5,290.58 is: 7,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.94 : 8,108.39 = 5,290.58 : x
  2. Step 2: Convert to fraction form
    5,416.94/8,108.39 = 5,290.58/x
  3. Step 3: Cross multiply
    5,416.94x = 8,108.39 × 5,290.58
  4. Step 4: Simplify right side
    5,416.94x = 42,898,119.46
  5. Step 5: Solve for x
    x = 42,898,119.46/5,416.94
  6. Step 6: Final answer
    x = 7,919.25

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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.