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Finding the Fourth Proportional to 5,973.53, 8,945.18 and 4,414.01

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Solution

The fourth proportional to 5,973.53, 8,945.18 and 4,414.01 is: 6,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.53 : 8,945.18 = 4,414.01 : x
  2. Step 2: Convert to fraction form
    5,973.53/8,945.18 = 4,414.01/x
  3. Step 3: Cross multiply
    5,973.53x = 8,945.18 × 4,414.01
  4. Step 4: Simplify right side
    5,973.53x = 39,484,091.90
  5. Step 5: Solve for x
    x = 39,484,091.90/5,973.53
  6. Step 6: Final answer
    x = 6,609.84

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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.