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Finding the Fourth Proportional to 4,366, 6,558.03 and 3,534.04

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Solution

The fourth proportional to 4,366, 6,558.03 and 3,534.04 is: 5,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366 : 6,558.03 = 3,534.04 : x
  2. Step 2: Convert to fraction form
    4,366/6,558.03 = 3,534.04/x
  3. Step 3: Cross multiply
    4,366x = 6,558.03 × 3,534.04
  4. Step 4: Simplify right side
    4,366x = 23,176,340.34
  5. Step 5: Solve for x
    x = 23,176,340.34/4,366
  6. Step 6: Final answer
    x = 5,308.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.