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Finding the Fourth Proportional to 4,565.90, 6,300.82 and 2,576.38

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Solution

The fourth proportional to 4,565.90, 6,300.82 and 2,576.38 is: 3,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.90 : 6,300.82 = 2,576.38 : x
  2. Step 2: Convert to fraction form
    4,565.90/6,300.82 = 2,576.38/x
  3. Step 3: Cross multiply
    4,565.90x = 6,300.82 × 2,576.38
  4. Step 4: Simplify right side
    4,565.90x = 16,233,306.63
  5. Step 5: Solve for x
    x = 16,233,306.63/4,565.90
  6. Step 6: Final answer
    x = 3,555.34

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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.