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Finding the Fourth Proportional to 5,535.31, 7,638.61 and 3,051.31

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Solution

The fourth proportional to 5,535.31, 7,638.61 and 3,051.31 is: 4,210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.31 : 7,638.61 = 3,051.31 : x
  2. Step 2: Convert to fraction form
    5,535.31/7,638.61 = 3,051.31/x
  3. Step 3: Cross multiply
    5,535.31x = 7,638.61 × 3,051.31
  4. Step 4: Simplify right side
    5,535.31x = 23,307,767.08
  5. Step 5: Solve for x
    x = 23,307,767.08/5,535.31
  6. Step 6: Final answer
    x = 4,210.74

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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.