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Finding the Fourth Proportional to 3,675.12, 5,509.32 and 1,365

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Solution

The fourth proportional to 3,675.12, 5,509.32 and 1,365 is: 2,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.12 : 5,509.32 = 1,365 : x
  2. Step 2: Convert to fraction form
    3,675.12/5,509.32 = 1,365/x
  3. Step 3: Cross multiply
    3,675.12x = 5,509.32 × 1,365
  4. Step 4: Simplify right side
    3,675.12x = 7,520,221.80
  5. Step 5: Solve for x
    x = 7,520,221.80/3,675.12
  6. Step 6: Final answer
    x = 2,046.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.