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Finding the Fourth Proportional to 5,304.42, 7,945.70 and 3,106.49

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Solution

The fourth proportional to 5,304.42, 7,945.70 and 3,106.49 is: 4,653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.42 : 7,945.70 = 3,106.49 : x
  2. Step 2: Convert to fraction form
    5,304.42/7,945.70 = 3,106.49/x
  3. Step 3: Cross multiply
    5,304.42x = 7,945.70 × 3,106.49
  4. Step 4: Simplify right side
    5,304.42x = 24,683,182.33
  5. Step 5: Solve for x
    x = 24,683,182.33/5,304.42
  6. Step 6: Final answer
    x = 4,653.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.