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Finding the Fourth Proportional to 3,732.17, 5,598.93 and 1,266.86

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Solution

The fourth proportional to 3,732.17, 5,598.93 and 1,266.86 is: 1,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.17 : 5,598.93 = 1,266.86 : x
  2. Step 2: Convert to fraction form
    3,732.17/5,598.93 = 1,266.86/x
  3. Step 3: Cross multiply
    3,732.17x = 5,598.93 × 1,266.86
  4. Step 4: Simplify right side
    3,732.17x = 7,093,058.21
  5. Step 5: Solve for x
    x = 7,093,058.21/3,732.17
  6. Step 6: Final answer
    x = 1,900.52

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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.