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Finding the Fourth Proportional to 4,122.52, 5,688.84 and 2,330

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Solution

The fourth proportional to 4,122.52, 5,688.84 and 2,330 is: 3,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.52 : 5,688.84 = 2,330 : x
  2. Step 2: Convert to fraction form
    4,122.52/5,688.84 = 2,330/x
  3. Step 3: Cross multiply
    4,122.52x = 5,688.84 × 2,330
  4. Step 4: Simplify right side
    4,122.52x = 13,254,997.20
  5. Step 5: Solve for x
    x = 13,254,997.20/4,122.52
  6. Step 6: Final answer
    x = 3,215.27

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