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Finding the Fourth Proportional to 5,415.77, 7,471.53 and 3,647.94

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Solution

The fourth proportional to 5,415.77, 7,471.53 and 3,647.94 is: 5,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.77 : 7,471.53 = 3,647.94 : x
  2. Step 2: Convert to fraction form
    5,415.77/7,471.53 = 3,647.94/x
  3. Step 3: Cross multiply
    5,415.77x = 7,471.53 × 3,647.94
  4. Step 4: Simplify right side
    5,415.77x = 27,255,693.15
  5. Step 5: Solve for x
    x = 27,255,693.15/5,415.77
  6. Step 6: Final answer
    x = 5,032.66

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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.