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Finding the Fourth Proportional to 3,973.19, 5,961.23 and 1,507.99

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Solution

The fourth proportional to 3,973.19, 5,961.23 and 1,507.99 is: 2,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.19 : 5,961.23 = 1,507.99 : x
  2. Step 2: Convert to fraction form
    3,973.19/5,961.23 = 1,507.99/x
  3. Step 3: Cross multiply
    3,973.19x = 5,961.23 × 1,507.99
  4. Step 4: Simplify right side
    3,973.19x = 8,989,492.74
  5. Step 5: Solve for x
    x = 8,989,492.74/3,973.19
  6. Step 6: Final answer
    x = 2,262.54

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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.