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Finding the Fourth Proportional to 3,458.29, 5,188.35 and 1,814.40

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Solution

The fourth proportional to 3,458.29, 5,188.35 and 1,814.40 is: 2,722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.29 : 5,188.35 = 1,814.40 : x
  2. Step 2: Convert to fraction form
    3,458.29/5,188.35 = 1,814.40/x
  3. Step 3: Cross multiply
    3,458.29x = 5,188.35 × 1,814.40
  4. Step 4: Simplify right side
    3,458.29x = 9,413,742.24
  5. Step 5: Solve for x
    x = 9,413,742.24/3,458.29
  6. Step 6: Final answer
    x = 2,722.08

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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.