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Finding the Fourth Proportional to 5,441, 7,508.58 and 2,957

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Solution

The fourth proportional to 5,441, 7,508.58 and 2,957 is: 4,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441 : 7,508.58 = 2,957 : x
  2. Step 2: Convert to fraction form
    5,441/7,508.58 = 2,957/x
  3. Step 3: Cross multiply
    5,441x = 7,508.58 × 2,957
  4. Step 4: Simplify right side
    5,441x = 22,202,871.06
  5. Step 5: Solve for x
    x = 22,202,871.06/5,441
  6. Step 6: Final answer
    x = 4,080.66

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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.