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Finding the Fourth Proportional to 5,672.06, 8,507.60 and 1,973.66

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Solution

The fourth proportional to 5,672.06, 8,507.60 and 1,973.66 is: 2,960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.06 : 8,507.60 = 1,973.66 : x
  2. Step 2: Convert to fraction form
    5,672.06/8,507.60 = 1,973.66/x
  3. Step 3: Cross multiply
    5,672.06x = 8,507.60 × 1,973.66
  4. Step 4: Simplify right side
    5,672.06x = 16,791,109.82
  5. Step 5: Solve for x
    x = 16,791,109.82/5,672.06
  6. Step 6: Final answer
    x = 2,960.32

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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.