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Finding the Fourth Proportional to 5,109.60, 7,054.14 and 3,318.68

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Solution

The fourth proportional to 5,109.60, 7,054.14 and 3,318.68 is: 4,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.60 : 7,054.14 = 3,318.68 : x
  2. Step 2: Convert to fraction form
    5,109.60/7,054.14 = 3,318.68/x
  3. Step 3: Cross multiply
    5,109.60x = 7,054.14 × 3,318.68
  4. Step 4: Simplify right side
    5,109.60x = 23,410,381.47
  5. Step 5: Solve for x
    x = 23,410,381.47/5,109.60
  6. Step 6: Final answer
    x = 4,581.65

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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.