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Finding the Fourth Proportional to 3,837.60, 5,752.04 and 1,645.20

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Solution

The fourth proportional to 3,837.60, 5,752.04 and 1,645.20 is: 2,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.60 : 5,752.04 = 1,645.20 : x
  2. Step 2: Convert to fraction form
    3,837.60/5,752.04 = 1,645.20/x
  3. Step 3: Cross multiply
    3,837.60x = 5,752.04 × 1,645.20
  4. Step 4: Simplify right side
    3,837.60x = 9,463,256.21
  5. Step 5: Solve for x
    x = 9,463,256.21/3,837.60
  6. Step 6: Final answer
    x = 2,465.93

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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.