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Finding the Fourth Proportional to 3,546.02, 5,318.91 and 948.94

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Solution

The fourth proportional to 3,546.02, 5,318.91 and 948.94 is: 1,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.02 : 5,318.91 = 948.94 : x
  2. Step 2: Convert to fraction form
    3,546.02/5,318.91 = 948.94/x
  3. Step 3: Cross multiply
    3,546.02x = 5,318.91 × 948.94
  4. Step 4: Simplify right side
    3,546.02x = 5,047,326.46
  5. Step 5: Solve for x
    x = 5,047,326.46/3,546.02
  6. Step 6: Final answer
    x = 1,423.38

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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.