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Finding the Fourth Proportional to 4,146.84, 5,722.74 and 2,258.50

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Solution

The fourth proportional to 4,146.84, 5,722.74 and 2,258.50 is: 3,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.84 : 5,722.74 = 2,258.50 : x
  2. Step 2: Convert to fraction form
    4,146.84/5,722.74 = 2,258.50/x
  3. Step 3: Cross multiply
    4,146.84x = 5,722.74 × 2,258.50
  4. Step 4: Simplify right side
    4,146.84x = 12,924,808.29
  5. Step 5: Solve for x
    x = 12,924,808.29/4,146.84
  6. Step 6: Final answer
    x = 3,116.78

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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.