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Finding the Fourth Proportional to 5,765.16, 7,957.80 and 4,272.60

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Solution

The fourth proportional to 5,765.16, 7,957.80 and 4,272.60 is: 5,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.16 : 7,957.80 = 4,272.60 : x
  2. Step 2: Convert to fraction form
    5,765.16/7,957.80 = 4,272.60/x
  3. Step 3: Cross multiply
    5,765.16x = 7,957.80 × 4,272.60
  4. Step 4: Simplify right side
    5,765.16x = 34,000,496.28
  5. Step 5: Solve for x
    x = 34,000,496.28/5,765.16
  6. Step 6: Final answer
    x = 5,897.58

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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.