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Finding the Fourth Proportional to 5,242.54, 7,865.16 and 1,544.62

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Solution

The fourth proportional to 5,242.54, 7,865.16 and 1,544.62 is: 2,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.54 : 7,865.16 = 1,544.62 : x
  2. Step 2: Convert to fraction form
    5,242.54/7,865.16 = 1,544.62/x
  3. Step 3: Cross multiply
    5,242.54x = 7,865.16 × 1,544.62
  4. Step 4: Simplify right side
    5,242.54x = 12,148,683.44
  5. Step 5: Solve for x
    x = 12,148,683.44/5,242.54
  6. Step 6: Final answer
    x = 2,317.33

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Why These Related Problems?

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