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Finding the Fourth Proportional to 3,534.41, 5,275.77 and 3,277.42

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Solution

The fourth proportional to 3,534.41, 5,275.77 and 3,277.42 is: 4,892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.41 : 5,275.77 = 3,277.42 : x
  2. Step 2: Convert to fraction form
    3,534.41/5,275.77 = 3,277.42/x
  3. Step 3: Cross multiply
    3,534.41x = 5,275.77 × 3,277.42
  4. Step 4: Simplify right side
    3,534.41x = 17,290,914.11
  5. Step 5: Solve for x
    x = 17,290,914.11/3,534.41
  6. Step 6: Final answer
    x = 4,892.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.