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Finding the Fourth Proportional to 3,865.68, 5,335.98 and 2,605.95

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Solution

The fourth proportional to 3,865.68, 5,335.98 and 2,605.95 is: 3,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.68 : 5,335.98 = 2,605.95 : x
  2. Step 2: Convert to fraction form
    3,865.68/5,335.98 = 2,605.95/x
  3. Step 3: Cross multiply
    3,865.68x = 5,335.98 × 2,605.95
  4. Step 4: Simplify right side
    3,865.68x = 13,905,297.08
  5. Step 5: Solve for x
    x = 13,905,297.08/3,865.68
  6. Step 6: Final answer
    x = 3,597.12

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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.