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Finding the Fourth Proportional to 4,562.90, 6,296.68 and 2,573.38

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Solution

The fourth proportional to 4,562.90, 6,296.68 and 2,573.38 is: 3,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.90 : 6,296.68 = 2,573.38 : x
  2. Step 2: Convert to fraction form
    4,562.90/6,296.68 = 2,573.38/x
  3. Step 3: Cross multiply
    4,562.90x = 6,296.68 × 2,573.38
  4. Step 4: Simplify right side
    4,562.90x = 16,203,750.38
  5. Step 5: Solve for x
    x = 16,203,750.38/4,562.90
  6. Step 6: Final answer
    x = 3,551.20

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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.