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Finding the Fourth Proportional to 3,436.86, 4,742.85 and 1,864.95

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Solution

The fourth proportional to 3,436.86, 4,742.85 and 1,864.95 is: 2,573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.86 : 4,742.85 = 1,864.95 : x
  2. Step 2: Convert to fraction form
    3,436.86/4,742.85 = 1,864.95/x
  3. Step 3: Cross multiply
    3,436.86x = 4,742.85 × 1,864.95
  4. Step 4: Simplify right side
    3,436.86x = 8,845,185.10
  5. Step 5: Solve for x
    x = 8,845,185.10/3,436.86
  6. Step 6: Final answer
    x = 2,573.63

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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.