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Finding the Fourth Proportional to 5,415.13, 7,468.20 and 3,526

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Solution

The fourth proportional to 5,415.13, 7,468.20 and 3,526 is: 4,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.13 : 7,468.20 = 3,526 : x
  2. Step 2: Convert to fraction form
    5,415.13/7,468.20 = 3,526/x
  3. Step 3: Cross multiply
    5,415.13x = 7,468.20 × 3,526
  4. Step 4: Simplify right side
    5,415.13x = 26,332,873.20
  5. Step 5: Solve for x
    x = 26,332,873.20/5,415.13
  6. Step 6: Final answer
    x = 4,862.83

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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.