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Finding the Fourth Proportional to 3,636.42, 5,454.90 and 1,296.90

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Solution

The fourth proportional to 3,636.42, 5,454.90 and 1,296.90 is: 1,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.42 : 5,454.90 = 1,296.90 : x
  2. Step 2: Convert to fraction form
    3,636.42/5,454.90 = 1,296.90/x
  3. Step 3: Cross multiply
    3,636.42x = 5,454.90 × 1,296.90
  4. Step 4: Simplify right side
    3,636.42x = 7,074,459.81
  5. Step 5: Solve for x
    x = 7,074,459.81/3,636.42
  6. Step 6: Final answer
    x = 1,945.45

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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.