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Finding the Fourth Proportional to 4,596.50, 6,341.20 and 3,597.77

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Solution

The fourth proportional to 4,596.50, 6,341.20 and 3,597.77 is: 4,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.50 : 6,341.20 = 3,597.77 : x
  2. Step 2: Convert to fraction form
    4,596.50/6,341.20 = 3,597.77/x
  3. Step 3: Cross multiply
    4,596.50x = 6,341.20 × 3,597.77
  4. Step 4: Simplify right side
    4,596.50x = 22,814,179.12
  5. Step 5: Solve for x
    x = 22,814,179.12/4,596.50
  6. Step 6: Final answer
    x = 4,963.38

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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.