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Finding the Fourth Proportional to 3,757.06, 5,636.89 and 1,417.74

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Solution

The fourth proportional to 3,757.06, 5,636.89 and 1,417.74 is: 2,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.06 : 5,636.89 = 1,417.74 : x
  2. Step 2: Convert to fraction form
    3,757.06/5,636.89 = 1,417.74/x
  3. Step 3: Cross multiply
    3,757.06x = 5,636.89 × 1,417.74
  4. Step 4: Simplify right side
    3,757.06x = 7,991,633.88
  5. Step 5: Solve for x
    x = 7,991,633.88/3,757.06
  6. Step 6: Final answer
    x = 2,127.10

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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.