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Finding the Fourth Proportional to 4,370.17, 6,546.01 and 3,533.64

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Solution

The fourth proportional to 4,370.17, 6,546.01 and 3,533.64 is: 5,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,370.17 : 6,546.01 = 3,533.64 : x
  2. Step 2: Convert to fraction form
    4,370.17/6,546.01 = 3,533.64/x
  3. Step 3: Cross multiply
    4,370.17x = 6,546.01 × 3,533.64
  4. Step 4: Simplify right side
    4,370.17x = 23,131,252.84
  5. Step 5: Solve for x
    x = 23,131,252.84/4,370.17
  6. Step 6: Final answer
    x = 5,292.99

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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.