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Finding the Fourth Proportional to 4,256.02, 6,386.50 and 1,790.68

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Solution

The fourth proportional to 4,256.02, 6,386.50 and 1,790.68 is: 2,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.02 : 6,386.50 = 1,790.68 : x
  2. Step 2: Convert to fraction form
    4,256.02/6,386.50 = 1,790.68/x
  3. Step 3: Cross multiply
    4,256.02x = 6,386.50 × 1,790.68
  4. Step 4: Simplify right side
    4,256.02x = 11,436,177.82
  5. Step 5: Solve for x
    x = 11,436,177.82/4,256.02
  6. Step 6: Final answer
    x = 2,687.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.