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Finding the Fourth Proportional to 4,307.07, 5,946.51 and 3,361.20

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Solution

The fourth proportional to 4,307.07, 5,946.51 and 3,361.20 is: 4,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.07 : 5,946.51 = 3,361.20 : x
  2. Step 2: Convert to fraction form
    4,307.07/5,946.51 = 3,361.20/x
  3. Step 3: Cross multiply
    4,307.07x = 5,946.51 × 3,361.20
  4. Step 4: Simplify right side
    4,307.07x = 19,987,399.72
  5. Step 5: Solve for x
    x = 19,987,399.72/4,307.07
  6. Step 6: Final answer
    x = 4,640.60

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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.