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Finding the Fourth Proportional to 4,101.51, 5,662.80 and 3,155.63

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Solution

The fourth proportional to 4,101.51, 5,662.80 and 3,155.63 is: 4,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.51 : 5,662.80 = 3,155.63 : x
  2. Step 2: Convert to fraction form
    4,101.51/5,662.80 = 3,155.63/x
  3. Step 3: Cross multiply
    4,101.51x = 5,662.80 × 3,155.63
  4. Step 4: Simplify right side
    4,101.51x = 17,869,701.56
  5. Step 5: Solve for x
    x = 17,869,701.56/4,101.51
  6. Step 6: Final answer
    x = 4,356.86

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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.