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Finding the Fourth Proportional to 3,433.79, 5,146.54 and 2,457.84

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Solution

The fourth proportional to 3,433.79, 5,146.54 and 2,457.84 is: 3,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.79 : 5,146.54 = 2,457.84 : x
  2. Step 2: Convert to fraction form
    3,433.79/5,146.54 = 2,457.84/x
  3. Step 3: Cross multiply
    3,433.79x = 5,146.54 × 2,457.84
  4. Step 4: Simplify right side
    3,433.79x = 12,649,385.03
  5. Step 5: Solve for x
    x = 12,649,385.03/3,433.79
  6. Step 6: Final answer
    x = 3,683.79

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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.