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Finding the Fourth Proportional to 5,495.18, 7,584.70 and 3,138.69

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Solution

The fourth proportional to 5,495.18, 7,584.70 and 3,138.69 is: 4,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.18 : 7,584.70 = 3,138.69 : x
  2. Step 2: Convert to fraction form
    5,495.18/7,584.70 = 3,138.69/x
  3. Step 3: Cross multiply
    5,495.18x = 7,584.70 × 3,138.69
  4. Step 4: Simplify right side
    5,495.18x = 23,805,984.12
  5. Step 5: Solve for x
    x = 23,805,984.12/5,495.18
  6. Step 6: Final answer
    x = 4,332.16

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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.