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Finding the Fourth Proportional to 5,407.98, 7,460.82 and 3,816.95

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Solution

The fourth proportional to 5,407.98, 7,460.82 and 3,816.95 is: 5,265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.98 : 7,460.82 = 3,816.95 : x
  2. Step 2: Convert to fraction form
    5,407.98/7,460.82 = 3,816.95/x
  3. Step 3: Cross multiply
    5,407.98x = 7,460.82 × 3,816.95
  4. Step 4: Simplify right side
    5,407.98x = 28,477,539.59
  5. Step 5: Solve for x
    x = 28,477,539.59/5,407.98
  6. Step 6: Final answer
    x = 5,265.84

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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.