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Finding the Fourth Proportional to 3,544.38, 5,316.60 and 947.28

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Solution

The fourth proportional to 3,544.38, 5,316.60 and 947.28 is: 1,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.38 : 5,316.60 = 947.28 : x
  2. Step 2: Convert to fraction form
    3,544.38/5,316.60 = 947.28/x
  3. Step 3: Cross multiply
    3,544.38x = 5,316.60 × 947.28
  4. Step 4: Simplify right side
    3,544.38x = 5,036,308.85
  5. Step 5: Solve for x
    x = 5,036,308.85/3,544.38
  6. Step 6: Final answer
    x = 1,420.93

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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.