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Finding the Fourth Proportional to 3,459.74, 5,188.60 and 1,379.06

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Solution

The fourth proportional to 3,459.74, 5,188.60 and 1,379.06 is: 2,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.74 : 5,188.60 = 1,379.06 : x
  2. Step 2: Convert to fraction form
    3,459.74/5,188.60 = 1,379.06/x
  3. Step 3: Cross multiply
    3,459.74x = 5,188.60 × 1,379.06
  4. Step 4: Simplify right side
    3,459.74x = 7,155,357.88
  5. Step 5: Solve for x
    x = 7,155,357.88/3,459.74
  6. Step 6: Final answer
    x = 2,068.18

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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.