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Finding the Fourth Proportional to 3,970.64, 5,949.47 and 2,505.08

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Solution

The fourth proportional to 3,970.64, 5,949.47 and 2,505.08 is: 3,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.64 : 5,949.47 = 2,505.08 : x
  2. Step 2: Convert to fraction form
    3,970.64/5,949.47 = 2,505.08/x
  3. Step 3: Cross multiply
    3,970.64x = 5,949.47 × 2,505.08
  4. Step 4: Simplify right side
    3,970.64x = 14,903,856.03
  5. Step 5: Solve for x
    x = 14,903,856.03/3,970.64
  6. Step 6: Final answer
    x = 3,753.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.