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Finding the Fourth Proportional to 4,130.34, 5,699.76 and 2,267.34

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Solution

The fourth proportional to 4,130.34, 5,699.76 and 2,267.34 is: 3,128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.34 : 5,699.76 = 2,267.34 : x
  2. Step 2: Convert to fraction form
    4,130.34/5,699.76 = 2,267.34/x
  3. Step 3: Cross multiply
    4,130.34x = 5,699.76 × 2,267.34
  4. Step 4: Simplify right side
    4,130.34x = 12,923,293.84
  5. Step 5: Solve for x
    x = 12,923,293.84/4,130.34
  6. Step 6: Final answer
    x = 3,128.87

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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.