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Finding the Fourth Proportional to 4,332.61, 5,978.64 and 2,563.91

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Solution

The fourth proportional to 4,332.61, 5,978.64 and 2,563.91 is: 3,537.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.61 : 5,978.64 = 2,563.91 : x
  2. Step 2: Convert to fraction form
    4,332.61/5,978.64 = 2,563.91/x
  3. Step 3: Cross multiply
    4,332.61x = 5,978.64 × 2,563.91
  4. Step 4: Simplify right side
    4,332.61x = 15,328,694.88
  5. Step 5: Solve for x
    x = 15,328,694.88/4,332.61
  6. Step 6: Final answer
    x = 3,537.98

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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.