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Finding the Fourth Proportional to 3,544.01, 5,316.02 and 946.88

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Solution

The fourth proportional to 3,544.01, 5,316.02 and 946.88 is: 1,420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.01 : 5,316.02 = 946.88 : x
  2. Step 2: Convert to fraction form
    3,544.01/5,316.02 = 946.88/x
  3. Step 3: Cross multiply
    3,544.01x = 5,316.02 × 946.88
  4. Step 4: Simplify right side
    3,544.01x = 5,033,601.70
  5. Step 5: Solve for x
    x = 5,033,601.70/3,544.01
  6. Step 6: Final answer
    x = 1,420.31

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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.