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Finding the Fourth Proportional to 3,756.60, 5,633.52 and 1,290.72

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Solution

The fourth proportional to 3,756.60, 5,633.52 and 1,290.72 is: 1,935.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.60 : 5,633.52 = 1,290.72 : x
  2. Step 2: Convert to fraction form
    3,756.60/5,633.52 = 1,290.72/x
  3. Step 3: Cross multiply
    3,756.60x = 5,633.52 × 1,290.72
  4. Step 4: Simplify right side
    3,756.60x = 7,271,296.93
  5. Step 5: Solve for x
    x = 7,271,296.93/3,756.60
  6. Step 6: Final answer
    x = 1,935.61

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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.