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Finding the Fourth Proportional to 3,714.66, 5,564.70 and 2,544.48

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Solution

The fourth proportional to 3,714.66, 5,564.70 and 2,544.48 is: 3,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.66 : 5,564.70 = 2,544.48 : x
  2. Step 2: Convert to fraction form
    3,714.66/5,564.70 = 2,544.48/x
  3. Step 3: Cross multiply
    3,714.66x = 5,564.70 × 2,544.48
  4. Step 4: Simplify right side
    3,714.66x = 14,159,267.86
  5. Step 5: Solve for x
    x = 14,159,267.86/3,714.66
  6. Step 6: Final answer
    x = 3,811.73

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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.