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Finding the Fourth Proportional to 3,478.48, 4,801.14 and 2,361.28

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Solution

The fourth proportional to 3,478.48, 4,801.14 and 2,361.28 is: 3,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.48 : 4,801.14 = 2,361.28 : x
  2. Step 2: Convert to fraction form
    3,478.48/4,801.14 = 2,361.28/x
  3. Step 3: Cross multiply
    3,478.48x = 4,801.14 × 2,361.28
  4. Step 4: Simplify right side
    3,478.48x = 11,336,835.86
  5. Step 5: Solve for x
    x = 11,336,835.86/3,478.48
  6. Step 6: Final answer
    x = 3,259.13

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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.