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Finding the Fourth Proportional to 5,854.60, 8,094.90 and 5,116.84

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Solution

The fourth proportional to 5,854.60, 8,094.90 and 5,116.84 is: 7,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.60 : 8,094.90 = 5,116.84 : x
  2. Step 2: Convert to fraction form
    5,854.60/8,094.90 = 5,116.84/x
  3. Step 3: Cross multiply
    5,854.60x = 8,094.90 × 5,116.84
  4. Step 4: Simplify right side
    5,854.60x = 41,420,308.12
  5. Step 5: Solve for x
    x = 41,420,308.12/5,854.60
  6. Step 6: Final answer
    x = 7,074.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.