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Finding the Fourth Proportional to 3,730.94, 5,596.56 and 1,266.02

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Solution

The fourth proportional to 3,730.94, 5,596.56 and 1,266.02 is: 1,899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.94 : 5,596.56 = 1,266.02 : x
  2. Step 2: Convert to fraction form
    3,730.94/5,596.56 = 1,266.02/x
  3. Step 3: Cross multiply
    3,730.94x = 5,596.56 × 1,266.02
  4. Step 4: Simplify right side
    3,730.94x = 7,085,328.91
  5. Step 5: Solve for x
    x = 7,085,328.91/3,730.94
  6. Step 6: Final answer
    x = 1,899.08

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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.