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Finding the Fourth Proportional to 4,609.47, 6,361.16 and 2,513.60

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Solution

The fourth proportional to 4,609.47, 6,361.16 and 2,513.60 is: 3,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.47 : 6,361.16 = 2,513.60 : x
  2. Step 2: Convert to fraction form
    4,609.47/6,361.16 = 2,513.60/x
  3. Step 3: Cross multiply
    4,609.47x = 6,361.16 × 2,513.60
  4. Step 4: Simplify right side
    4,609.47x = 15,989,367.40
  5. Step 5: Solve for x
    x = 15,989,367.40/4,609.47
  6. Step 6: Final answer
    x = 3,468.81

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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.