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Finding the Fourth Proportional to 5,546.84, 8,304.26 and 5,157.60

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Solution

The fourth proportional to 5,546.84, 8,304.26 and 5,157.60 is: 7,721.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.84 : 8,304.26 = 5,157.60 : x
  2. Step 2: Convert to fraction form
    5,546.84/8,304.26 = 5,157.60/x
  3. Step 3: Cross multiply
    5,546.84x = 8,304.26 × 5,157.60
  4. Step 4: Simplify right side
    5,546.84x = 42,830,051.38
  5. Step 5: Solve for x
    x = 42,830,051.38/5,546.84
  6. Step 6: Final answer
    x = 7,721.52

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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.