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Finding the Fourth Proportional to 3,874.84, 5,347.76 and 2,459.20

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Solution

The fourth proportional to 3,874.84, 5,347.76 and 2,459.20 is: 3,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.84 : 5,347.76 = 2,459.20 : x
  2. Step 2: Convert to fraction form
    3,874.84/5,347.76 = 2,459.20/x
  3. Step 3: Cross multiply
    3,874.84x = 5,347.76 × 2,459.20
  4. Step 4: Simplify right side
    3,874.84x = 13,151,211.39
  5. Step 5: Solve for x
    x = 13,151,211.39/3,874.84
  6. Step 6: Final answer
    x = 3,394.00

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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.