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Finding the Fourth Proportional to 5,892.36, 8,838.33 and 1,509.86

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Solution

The fourth proportional to 5,892.36, 8,838.33 and 1,509.86 is: 2,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.36 : 8,838.33 = 1,509.86 : x
  2. Step 2: Convert to fraction form
    5,892.36/8,838.33 = 1,509.86/x
  3. Step 3: Cross multiply
    5,892.36x = 8,838.33 × 1,509.86
  4. Step 4: Simplify right side
    5,892.36x = 13,344,640.93
  5. Step 5: Solve for x
    x = 13,344,640.93/5,892.36
  6. Step 6: Final answer
    x = 2,264.74

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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.