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Finding the Fourth Proportional to 3,405.49, 4,699.77 and 2,564.71

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Solution

The fourth proportional to 3,405.49, 4,699.77 and 2,564.71 is: 3,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.49 : 4,699.77 = 2,564.71 : x
  2. Step 2: Convert to fraction form
    3,405.49/4,699.77 = 2,564.71/x
  3. Step 3: Cross multiply
    3,405.49x = 4,699.77 × 2,564.71
  4. Step 4: Simplify right side
    3,405.49x = 12,053,523.62
  5. Step 5: Solve for x
    x = 12,053,523.62/3,405.49
  6. Step 6: Final answer
    x = 3,539.44

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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.