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Finding the Fourth Proportional to 5,727.88, 7,897.62 and 4,785.04

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Solution

The fourth proportional to 5,727.88, 7,897.62 and 4,785.04 is: 6,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.88 : 7,897.62 = 4,785.04 : x
  2. Step 2: Convert to fraction form
    5,727.88/7,897.62 = 4,785.04/x
  3. Step 3: Cross multiply
    5,727.88x = 7,897.62 × 4,785.04
  4. Step 4: Simplify right side
    5,727.88x = 37,790,427.60
  5. Step 5: Solve for x
    x = 37,790,427.60/5,727.88
  6. Step 6: Final answer
    x = 6,597.63

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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.