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Finding the Fourth Proportional to 3,970.53, 5,474.13 and 3,416.94

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Solution

The fourth proportional to 3,970.53, 5,474.13 and 3,416.94 is: 4,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.53 : 5,474.13 = 3,416.94 : x
  2. Step 2: Convert to fraction form
    3,970.53/5,474.13 = 3,416.94/x
  3. Step 3: Cross multiply
    3,970.53x = 5,474.13 × 3,416.94
  4. Step 4: Simplify right side
    3,970.53x = 18,704,773.76
  5. Step 5: Solve for x
    x = 18,704,773.76/3,970.53
  6. Step 6: Final answer
    x = 4,710.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.