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Finding the Fourth Proportional to 3,641.53, 5,025.32 and 1,985.53

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Solution

The fourth proportional to 3,641.53, 5,025.32 and 1,985.53 is: 2,740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.53 : 5,025.32 = 1,985.53 : x
  2. Step 2: Convert to fraction form
    3,641.53/5,025.32 = 1,985.53/x
  3. Step 3: Cross multiply
    3,641.53x = 5,025.32 × 1,985.53
  4. Step 4: Simplify right side
    3,641.53x = 9,977,923.62
  5. Step 5: Solve for x
    x = 9,977,923.62/3,641.53
  6. Step 6: Final answer
    x = 2,740.04

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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.