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Finding the Fourth Proportional to 4,514.86, 6,770.53 and 1,552.74

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Solution

The fourth proportional to 4,514.86, 6,770.53 and 1,552.74 is: 2,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.86 : 6,770.53 = 1,552.74 : x
  2. Step 2: Convert to fraction form
    4,514.86/6,770.53 = 1,552.74/x
  3. Step 3: Cross multiply
    4,514.86x = 6,770.53 × 1,552.74
  4. Step 4: Simplify right side
    4,514.86x = 10,512,831.14
  5. Step 5: Solve for x
    x = 10,512,831.14/4,514.86
  6. Step 6: Final answer
    x = 2,328.50

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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.