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Finding the Fourth Proportional to 3,833.96, 5,293.28 and 2,509.90

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Solution

The fourth proportional to 3,833.96, 5,293.28 and 2,509.90 is: 3,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.96 : 5,293.28 = 2,509.90 : x
  2. Step 2: Convert to fraction form
    3,833.96/5,293.28 = 2,509.90/x
  3. Step 3: Cross multiply
    3,833.96x = 5,293.28 × 2,509.90
  4. Step 4: Simplify right side
    3,833.96x = 13,285,564.46
  5. Step 5: Solve for x
    x = 13,285,564.46/3,833.96
  6. Step 6: Final answer
    x = 3,465.24

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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.