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Finding the Fourth Proportional to 3,954.84, 5,457.46 and 2,186.34

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Solution

The fourth proportional to 3,954.84, 5,457.46 and 2,186.34 is: 3,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.84 : 5,457.46 = 2,186.34 : x
  2. Step 2: Convert to fraction form
    3,954.84/5,457.46 = 2,186.34/x
  3. Step 3: Cross multiply
    3,954.84x = 5,457.46 × 2,186.34
  4. Step 4: Simplify right side
    3,954.84x = 11,931,830.34
  5. Step 5: Solve for x
    x = 11,931,830.34/3,954.84
  6. Step 6: Final answer
    x = 3,017.02

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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.