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Finding the Fourth Proportional to 3,656.77, 5,483.62 and 1,404.95

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Solution

The fourth proportional to 3,656.77, 5,483.62 and 1,404.95 is: 2,106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.77 : 5,483.62 = 1,404.95 : x
  2. Step 2: Convert to fraction form
    3,656.77/5,483.62 = 1,404.95/x
  3. Step 3: Cross multiply
    3,656.77x = 5,483.62 × 1,404.95
  4. Step 4: Simplify right side
    3,656.77x = 7,704,190.21
  5. Step 5: Solve for x
    x = 7,704,190.21/3,656.77
  6. Step 6: Final answer
    x = 2,106.83

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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.