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Finding the Fourth Proportional to 3,544.34, 5,316.57 and 947.25

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Solution

The fourth proportional to 3,544.34, 5,316.57 and 947.25 is: 1,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.34 : 5,316.57 = 947.25 : x
  2. Step 2: Convert to fraction form
    3,544.34/5,316.57 = 947.25/x
  3. Step 3: Cross multiply
    3,544.34x = 5,316.57 × 947.25
  4. Step 4: Simplify right side
    3,544.34x = 5,036,120.93
  5. Step 5: Solve for x
    x = 5,036,120.93/3,544.34
  6. Step 6: Final answer
    x = 1,420.89

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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.