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Finding the Fourth Proportional to 4,134.69, 5,703.93 and 2,365.29

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Solution

The fourth proportional to 4,134.69, 5,703.93 and 2,365.29 is: 3,262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.69 : 5,703.93 = 2,365.29 : x
  2. Step 2: Convert to fraction form
    4,134.69/5,703.93 = 2,365.29/x
  3. Step 3: Cross multiply
    4,134.69x = 5,703.93 × 2,365.29
  4. Step 4: Simplify right side
    4,134.69x = 13,491,448.59
  5. Step 5: Solve for x
    x = 13,491,448.59/4,134.69
  6. Step 6: Final answer
    x = 3,262.99

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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.