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Finding the Fourth Proportional to 3,562.42, 4,916.14 and 1,990.52

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Solution

The fourth proportional to 3,562.42, 4,916.14 and 1,990.52 is: 2,746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.42 : 4,916.14 = 1,990.52 : x
  2. Step 2: Convert to fraction form
    3,562.42/4,916.14 = 1,990.52/x
  3. Step 3: Cross multiply
    3,562.42x = 4,916.14 × 1,990.52
  4. Step 4: Simplify right side
    3,562.42x = 9,785,674.99
  5. Step 5: Solve for x
    x = 9,785,674.99/3,562.42
  6. Step 6: Final answer
    x = 2,746.92

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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.