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Finding the Fourth Proportional to 4,156.88, 5,735.49 and 2,583.86

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Solution

The fourth proportional to 4,156.88, 5,735.49 and 2,583.86 is: 3,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.88 : 5,735.49 = 2,583.86 : x
  2. Step 2: Convert to fraction form
    4,156.88/5,735.49 = 2,583.86/x
  3. Step 3: Cross multiply
    4,156.88x = 5,735.49 × 2,583.86
  4. Step 4: Simplify right side
    4,156.88x = 14,819,703.19
  5. Step 5: Solve for x
    x = 14,819,703.19/4,156.88
  6. Step 6: Final answer
    x = 3,565.10

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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.