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Finding the Fourth Proportional to 4,597.56, 6,342.30 and 2,920.86

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Solution

The fourth proportional to 4,597.56, 6,342.30 and 2,920.86 is: 4,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.56 : 6,342.30 = 2,920.86 : x
  2. Step 2: Convert to fraction form
    4,597.56/6,342.30 = 2,920.86/x
  3. Step 3: Cross multiply
    4,597.56x = 6,342.30 × 2,920.86
  4. Step 4: Simplify right side
    4,597.56x = 18,524,970.38
  5. Step 5: Solve for x
    x = 18,524,970.38/4,597.56
  6. Step 6: Final answer
    x = 4,029.30

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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.