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Finding the Fourth Proportional to 3,752.02, 5,627 and 1,411.86

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Solution

The fourth proportional to 3,752.02, 5,627 and 1,411.86 is: 2,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.02 : 5,627 = 1,411.86 : x
  2. Step 2: Convert to fraction form
    3,752.02/5,627 = 1,411.86/x
  3. Step 3: Cross multiply
    3,752.02x = 5,627 × 1,411.86
  4. Step 4: Simplify right side
    3,752.02x = 7,944,536.22
  5. Step 5: Solve for x
    x = 7,944,536.22/3,752.02
  6. Step 6: Final answer
    x = 2,117.40

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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.