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Finding the Fourth Proportional to 4,132.76, 5,703.22 and 2,364.38

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Solution

The fourth proportional to 4,132.76, 5,703.22 and 2,364.38 is: 3,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.76 : 5,703.22 = 2,364.38 : x
  2. Step 2: Convert to fraction form
    4,132.76/5,703.22 = 2,364.38/x
  3. Step 3: Cross multiply
    4,132.76x = 5,703.22 × 2,364.38
  4. Step 4: Simplify right side
    4,132.76x = 13,484,579.30
  5. Step 5: Solve for x
    x = 13,484,579.30/4,132.76
  6. Step 6: Final answer
    x = 3,262.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.