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Finding the Fourth Proportional to 4,215.53, 5,806.13 and 3,656.03

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Solution

The fourth proportional to 4,215.53, 5,806.13 and 3,656.03 is: 5,035.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.53 : 5,806.13 = 3,656.03 : x
  2. Step 2: Convert to fraction form
    4,215.53/5,806.13 = 3,656.03/x
  3. Step 3: Cross multiply
    4,215.53x = 5,806.13 × 3,656.03
  4. Step 4: Simplify right side
    4,215.53x = 21,227,338.15
  5. Step 5: Solve for x
    x = 21,227,338.15/4,215.53
  6. Step 6: Final answer
    x = 5,035.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.