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Finding the Fourth Proportional to 5,284.58, 7,291.05 and 3,046.14

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Solution

The fourth proportional to 5,284.58, 7,291.05 and 3,046.14 is: 4,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.58 : 7,291.05 = 3,046.14 : x
  2. Step 2: Convert to fraction form
    5,284.58/7,291.05 = 3,046.14/x
  3. Step 3: Cross multiply
    5,284.58x = 7,291.05 × 3,046.14
  4. Step 4: Simplify right side
    5,284.58x = 22,209,559.05
  5. Step 5: Solve for x
    x = 22,209,559.05/5,284.58
  6. Step 6: Final answer
    x = 4,202.71

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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.