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Finding the Fourth Proportional to 3,775.60, 5,210.32 and 2,203.69

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Solution

The fourth proportional to 3,775.60, 5,210.32 and 2,203.69 is: 3,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.60 : 5,210.32 = 2,203.69 : x
  2. Step 2: Convert to fraction form
    3,775.60/5,210.32 = 2,203.69/x
  3. Step 3: Cross multiply
    3,775.60x = 5,210.32 × 2,203.69
  4. Step 4: Simplify right side
    3,775.60x = 11,481,911.55
  5. Step 5: Solve for x
    x = 11,481,911.55/3,775.60
  6. Step 6: Final answer
    x = 3,041.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.