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Finding the Fourth Proportional to 3,854.81, 5,774.74 and 2,534.58

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Solution

The fourth proportional to 3,854.81, 5,774.74 and 2,534.58 is: 3,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.81 : 5,774.74 = 2,534.58 : x
  2. Step 2: Convert to fraction form
    3,854.81/5,774.74 = 2,534.58/x
  3. Step 3: Cross multiply
    3,854.81x = 5,774.74 × 2,534.58
  4. Step 4: Simplify right side
    3,854.81x = 14,636,540.51
  5. Step 5: Solve for x
    x = 14,636,540.51/3,854.81
  6. Step 6: Final answer
    x = 3,796.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.