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Finding the Fourth Proportional to 3,690.77, 5,534.96 and 1,225.06

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Solution

The fourth proportional to 3,690.77, 5,534.96 and 1,225.06 is: 1,837.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.77 : 5,534.96 = 1,225.06 : x
  2. Step 2: Convert to fraction form
    3,690.77/5,534.96 = 1,225.06/x
  3. Step 3: Cross multiply
    3,690.77x = 5,534.96 × 1,225.06
  4. Step 4: Simplify right side
    3,690.77x = 6,780,638.13
  5. Step 5: Solve for x
    x = 6,780,638.13/3,690.77
  6. Step 6: Final answer
    x = 1,837.19

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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.