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Finding the Fourth Proportional to 4,304.34, 5,942.68 and 3,307.64

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Solution

The fourth proportional to 4,304.34, 5,942.68 and 3,307.64 is: 4,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.34 : 5,942.68 = 3,307.64 : x
  2. Step 2: Convert to fraction form
    4,304.34/5,942.68 = 3,307.64/x
  3. Step 3: Cross multiply
    4,304.34x = 5,942.68 × 3,307.64
  4. Step 4: Simplify right side
    4,304.34x = 19,656,208.09
  5. Step 5: Solve for x
    x = 19,656,208.09/4,304.34
  6. Step 6: Final answer
    x = 4,566.60

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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.