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Finding the Fourth Proportional to 3,544.64, 5,316.60 and 947.84

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Solution

The fourth proportional to 3,544.64, 5,316.60 and 947.84 is: 1,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.64 : 5,316.60 = 947.84 : x
  2. Step 2: Convert to fraction form
    3,544.64/5,316.60 = 947.84/x
  3. Step 3: Cross multiply
    3,544.64x = 5,316.60 × 947.84
  4. Step 4: Simplify right side
    3,544.64x = 5,039,286.14
  5. Step 5: Solve for x
    x = 5,039,286.14/3,544.64
  6. Step 6: Final answer
    x = 1,421.66

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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.