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Finding the Fourth Proportional to 3,535.81, 4,878.60 and 2,277.29

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Solution

The fourth proportional to 3,535.81, 4,878.60 and 2,277.29 is: 3,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.81 : 4,878.60 = 2,277.29 : x
  2. Step 2: Convert to fraction form
    3,535.81/4,878.60 = 2,277.29/x
  3. Step 3: Cross multiply
    3,535.81x = 4,878.60 × 2,277.29
  4. Step 4: Simplify right side
    3,535.81x = 11,109,999.19
  5. Step 5: Solve for x
    x = 11,109,999.19/3,535.81
  6. Step 6: Final answer
    x = 3,142.14

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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.