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Finding the Fourth Proportional to 3,505.82, 4,834.74 and 2,560.10

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Solution

The fourth proportional to 3,505.82, 4,834.74 and 2,560.10 is: 3,530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.82 : 4,834.74 = 2,560.10 : x
  2. Step 2: Convert to fraction form
    3,505.82/4,834.74 = 2,560.10/x
  3. Step 3: Cross multiply
    3,505.82x = 4,834.74 × 2,560.10
  4. Step 4: Simplify right side
    3,505.82x = 12,377,417.87
  5. Step 5: Solve for x
    x = 12,377,417.87/3,505.82
  6. Step 6: Final answer
    x = 3,530.53

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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.