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Finding the Fourth Proportional to 3,164.09, 4,742.87 and 1,316.21

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Solution

The fourth proportional to 3,164.09, 4,742.87 and 1,316.21 is: 1,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.09 : 4,742.87 = 1,316.21 : x
  2. Step 2: Convert to fraction form
    3,164.09/4,742.87 = 1,316.21/x
  3. Step 3: Cross multiply
    3,164.09x = 4,742.87 × 1,316.21
  4. Step 4: Simplify right side
    3,164.09x = 6,242,582.63
  5. Step 5: Solve for x
    x = 6,242,582.63/3,164.09
  6. Step 6: Final answer
    x = 1,972.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.