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Finding the Fourth Proportional to 3,985.84, 5,499.72 and 2,307.31

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Solution

The fourth proportional to 3,985.84, 5,499.72 and 2,307.31 is: 3,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.84 : 5,499.72 = 2,307.31 : x
  2. Step 2: Convert to fraction form
    3,985.84/5,499.72 = 2,307.31/x
  3. Step 3: Cross multiply
    3,985.84x = 5,499.72 × 2,307.31
  4. Step 4: Simplify right side
    3,985.84x = 12,689,558.95
  5. Step 5: Solve for x
    x = 12,689,558.95/3,985.84
  6. Step 6: Final answer
    x = 3,183.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.