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Finding the Fourth Proportional to 5,577.54, 7,697.88 and 4,084.71

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Solution

The fourth proportional to 5,577.54, 7,697.88 and 4,084.71 is: 5,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.54 : 7,697.88 = 4,084.71 : x
  2. Step 2: Convert to fraction form
    5,577.54/7,697.88 = 4,084.71/x
  3. Step 3: Cross multiply
    5,577.54x = 7,697.88 × 4,084.71
  4. Step 4: Simplify right side
    5,577.54x = 31,443,607.41
  5. Step 5: Solve for x
    x = 31,443,607.41/5,577.54
  6. Step 6: Final answer
    x = 5,637.54

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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.