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Finding the Fourth Proportional to 4,335.66, 5,981.65 and 2,742.46

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Solution

The fourth proportional to 4,335.66, 5,981.65 and 2,742.46 is: 3,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.66 : 5,981.65 = 2,742.46 : x
  2. Step 2: Convert to fraction form
    4,335.66/5,981.65 = 2,742.46/x
  3. Step 3: Cross multiply
    4,335.66x = 5,981.65 × 2,742.46
  4. Step 4: Simplify right side
    4,335.66x = 16,404,414.05
  5. Step 5: Solve for x
    x = 16,404,414.05/4,335.66
  6. Step 6: Final answer
    x = 3,783.60

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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.