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Finding the Fourth Proportional to 5,308.40, 7,325.16 and 3,184.40

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Solution

The fourth proportional to 5,308.40, 7,325.16 and 3,184.40 is: 4,394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.40 : 7,325.16 = 3,184.40 : x
  2. Step 2: Convert to fraction form
    5,308.40/7,325.16 = 3,184.40/x
  3. Step 3: Cross multiply
    5,308.40x = 7,325.16 × 3,184.40
  4. Step 4: Simplify right side
    5,308.40x = 23,326,239.50
  5. Step 5: Solve for x
    x = 23,326,239.50/5,308.40
  6. Step 6: Final answer
    x = 4,394.21

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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.