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Finding the Fourth Proportional to 5,468.19, 7,546.71 and 3,078.23

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Solution

The fourth proportional to 5,468.19, 7,546.71 and 3,078.23 is: 4,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.19 : 7,546.71 = 3,078.23 : x
  2. Step 2: Convert to fraction form
    5,468.19/7,546.71 = 3,078.23/x
  3. Step 3: Cross multiply
    5,468.19x = 7,546.71 × 3,078.23
  4. Step 4: Simplify right side
    5,468.19x = 23,230,509.12
  5. Step 5: Solve for x
    x = 23,230,509.12/5,468.19
  6. Step 6: Final answer
    x = 4,248.30

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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.