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Finding the Fourth Proportional to 4,128.51, 6,189.12 and 1,529.76

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Solution

The fourth proportional to 4,128.51, 6,189.12 and 1,529.76 is: 2,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.51 : 6,189.12 = 1,529.76 : x
  2. Step 2: Convert to fraction form
    4,128.51/6,189.12 = 1,529.76/x
  3. Step 3: Cross multiply
    4,128.51x = 6,189.12 × 1,529.76
  4. Step 4: Simplify right side
    4,128.51x = 9,467,868.21
  5. Step 5: Solve for x
    x = 9,467,868.21/4,128.51
  6. Step 6: Final answer
    x = 2,293.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.