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Finding the Fourth Proportional to 4,259.86, 6,385.04 and 3,216.47

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Solution

The fourth proportional to 4,259.86, 6,385.04 and 3,216.47 is: 4,821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.86 : 6,385.04 = 3,216.47 : x
  2. Step 2: Convert to fraction form
    4,259.86/6,385.04 = 3,216.47/x
  3. Step 3: Cross multiply
    4,259.86x = 6,385.04 × 3,216.47
  4. Step 4: Simplify right side
    4,259.86x = 20,537,289.49
  5. Step 5: Solve for x
    x = 20,537,289.49/4,259.86
  6. Step 6: Final answer
    x = 4,821.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.