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Finding the Fourth Proportional to 5,883.90, 8,830.91 and 3,415.29

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Solution

The fourth proportional to 5,883.90, 8,830.91 and 3,415.29 is: 5,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.90 : 8,830.91 = 3,415.29 : x
  2. Step 2: Convert to fraction form
    5,883.90/8,830.91 = 3,415.29/x
  3. Step 3: Cross multiply
    5,883.90x = 8,830.91 × 3,415.29
  4. Step 4: Simplify right side
    5,883.90x = 30,160,118.61
  5. Step 5: Solve for x
    x = 30,160,118.61/5,883.90
  6. Step 6: Final answer
    x = 5,125.87

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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.