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Finding the Fourth Proportional to 3,548.40, 5,321.70 and 1,466.70

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Solution

The fourth proportional to 3,548.40, 5,321.70 and 1,466.70 is: 2,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.40 : 5,321.70 = 1,466.70 : x
  2. Step 2: Convert to fraction form
    3,548.40/5,321.70 = 1,466.70/x
  3. Step 3: Cross multiply
    3,548.40x = 5,321.70 × 1,466.70
  4. Step 4: Simplify right side
    3,548.40x = 7,805,337.39
  5. Step 5: Solve for x
    x = 7,805,337.39/3,548.40
  6. Step 6: Final answer
    x = 2,199.68

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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.