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Finding the Fourth Proportional to 4,101.33, 5,646.14 and 3,913.03

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Solution

The fourth proportional to 4,101.33, 5,646.14 and 3,913.03 is: 5,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.33 : 5,646.14 = 3,913.03 : x
  2. Step 2: Convert to fraction form
    4,101.33/5,646.14 = 3,913.03/x
  3. Step 3: Cross multiply
    4,101.33x = 5,646.14 × 3,913.03
  4. Step 4: Simplify right side
    4,101.33x = 22,093,510.87
  5. Step 5: Solve for x
    x = 22,093,510.87/4,101.33
  6. Step 6: Final answer
    x = 5,386.91

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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.