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Finding the Fourth Proportional to 3,562.85, 4,916.79 and 1,969.59

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Solution

The fourth proportional to 3,562.85, 4,916.79 and 1,969.59 is: 2,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.85 : 4,916.79 = 1,969.59 : x
  2. Step 2: Convert to fraction form
    3,562.85/4,916.79 = 1,969.59/x
  3. Step 3: Cross multiply
    3,562.85x = 4,916.79 × 1,969.59
  4. Step 4: Simplify right side
    3,562.85x = 9,684,060.42
  5. Step 5: Solve for x
    x = 9,684,060.42/3,562.85
  6. Step 6: Final answer
    x = 2,718.07

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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.