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Finding the Fourth Proportional to 3,459.29, 5,188.23 and 1,267.27

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Solution

The fourth proportional to 3,459.29, 5,188.23 and 1,267.27 is: 1,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.29 : 5,188.23 = 1,267.27 : x
  2. Step 2: Convert to fraction form
    3,459.29/5,188.23 = 1,267.27/x
  3. Step 3: Cross multiply
    3,459.29x = 5,188.23 × 1,267.27
  4. Step 4: Simplify right side
    3,459.29x = 6,574,888.23
  5. Step 5: Solve for x
    x = 6,574,888.23/3,459.29
  6. Step 6: Final answer
    x = 1,900.65

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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.