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Finding the Fourth Proportional to 3,444.68, 5,164.14 and 1,364.24

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Solution

The fourth proportional to 3,444.68, 5,164.14 and 1,364.24 is: 2,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.68 : 5,164.14 = 1,364.24 : x
  2. Step 2: Convert to fraction form
    3,444.68/5,164.14 = 1,364.24/x
  3. Step 3: Cross multiply
    3,444.68x = 5,164.14 × 1,364.24
  4. Step 4: Simplify right side
    3,444.68x = 7,045,126.35
  5. Step 5: Solve for x
    x = 7,045,126.35/3,444.68
  6. Step 6: Final answer
    x = 2,045.22

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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.