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Finding the Fourth Proportional to 5,007.74, 7,512.33 and 1,544.18

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Solution

The fourth proportional to 5,007.74, 7,512.33 and 1,544.18 is: 2,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.74 : 7,512.33 = 1,544.18 : x
  2. Step 2: Convert to fraction form
    5,007.74/7,512.33 = 1,544.18/x
  3. Step 3: Cross multiply
    5,007.74x = 7,512.33 × 1,544.18
  4. Step 4: Simplify right side
    5,007.74x = 11,600,389.74
  5. Step 5: Solve for x
    x = 11,600,389.74/5,007.74
  6. Step 6: Final answer
    x = 2,316.49

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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.