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Finding the Fourth Proportional to 3,645, 5,465.68 and 1,453.14

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Solution

The fourth proportional to 3,645, 5,465.68 and 1,453.14 is: 2,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645 : 5,465.68 = 1,453.14 : x
  2. Step 2: Convert to fraction form
    3,645/5,465.68 = 1,453.14/x
  3. Step 3: Cross multiply
    3,645x = 5,465.68 × 1,453.14
  4. Step 4: Simplify right side
    3,645x = 7,942,394.60
  5. Step 5: Solve for x
    x = 7,942,394.60/3,645
  6. Step 6: Final answer
    x = 2,178.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.