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Finding the Fourth Proportional to 4,588.45, 6,329.24 and 4,000.39

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Solution

The fourth proportional to 4,588.45, 6,329.24 and 4,000.39 is: 5,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.45 : 6,329.24 = 4,000.39 : x
  2. Step 2: Convert to fraction form
    4,588.45/6,329.24 = 4,000.39/x
  3. Step 3: Cross multiply
    4,588.45x = 6,329.24 × 4,000.39
  4. Step 4: Simplify right side
    4,588.45x = 25,319,407.58
  5. Step 5: Solve for x
    x = 25,319,407.58/4,588.45
  6. Step 6: Final answer
    x = 5,518.08

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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.