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Finding the Fourth Proportional to 3,898.52, 5,380.08 and 2,406.40

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Solution

The fourth proportional to 3,898.52, 5,380.08 and 2,406.40 is: 3,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.52 : 5,380.08 = 2,406.40 : x
  2. Step 2: Convert to fraction form
    3,898.52/5,380.08 = 2,406.40/x
  3. Step 3: Cross multiply
    3,898.52x = 5,380.08 × 2,406.40
  4. Step 4: Simplify right side
    3,898.52x = 12,946,624.51
  5. Step 5: Solve for x
    x = 12,946,624.51/3,898.52
  6. Step 6: Final answer
    x = 3,320.91

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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.