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Finding the Fourth Proportional to 4,132.84, 5,703.24 and 2,269.84

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Solution

The fourth proportional to 4,132.84, 5,703.24 and 2,269.84 is: 3,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.84 : 5,703.24 = 2,269.84 : x
  2. Step 2: Convert to fraction form
    4,132.84/5,703.24 = 2,269.84/x
  3. Step 3: Cross multiply
    4,132.84x = 5,703.24 × 2,269.84
  4. Step 4: Simplify right side
    4,132.84x = 12,945,442.28
  5. Step 5: Solve for x
    x = 12,945,442.28/4,132.84
  6. Step 6: Final answer
    x = 3,132.34

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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.