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Finding the Fourth Proportional to 4,111.53, 5,661.48 and 3,447.23

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Solution

The fourth proportional to 4,111.53, 5,661.48 and 3,447.23 is: 4,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.53 : 5,661.48 = 3,447.23 : x
  2. Step 2: Convert to fraction form
    4,111.53/5,661.48 = 3,447.23/x
  3. Step 3: Cross multiply
    4,111.53x = 5,661.48 × 3,447.23
  4. Step 4: Simplify right side
    4,111.53x = 19,516,395.39
  5. Step 5: Solve for x
    x = 19,516,395.39/4,111.53
  6. Step 6: Final answer
    x = 4,746.75

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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.