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Finding the Fourth Proportional to 3,409.53, 4,700.49 and 2,560.02

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Solution

The fourth proportional to 3,409.53, 4,700.49 and 2,560.02 is: 3,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.53 : 4,700.49 = 2,560.02 : x
  2. Step 2: Convert to fraction form
    3,409.53/4,700.49 = 2,560.02/x
  3. Step 3: Cross multiply
    3,409.53x = 4,700.49 × 2,560.02
  4. Step 4: Simplify right side
    3,409.53x = 12,033,348.41
  5. Step 5: Solve for x
    x = 12,033,348.41/3,409.53
  6. Step 6: Final answer
    x = 3,529.33

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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.