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Finding the Fourth Proportional to 4,383.86, 6,543.77 and 3,802.95

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Solution

The fourth proportional to 4,383.86, 6,543.77 and 3,802.95 is: 5,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,383.86 : 6,543.77 = 3,802.95 : x
  2. Step 2: Convert to fraction form
    4,383.86/6,543.77 = 3,802.95/x
  3. Step 3: Cross multiply
    4,383.86x = 6,543.77 × 3,802.95
  4. Step 4: Simplify right side
    4,383.86x = 24,885,611.11
  5. Step 5: Solve for x
    x = 24,885,611.11/4,383.86
  6. Step 6: Final answer
    x = 5,676.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.