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Finding the Fourth Proportional to 5,899.64, 8,140.23 and 3,909.06

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Solution

The fourth proportional to 5,899.64, 8,140.23 and 3,909.06 is: 5,393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.64 : 8,140.23 = 3,909.06 : x
  2. Step 2: Convert to fraction form
    5,899.64/8,140.23 = 3,909.06/x
  3. Step 3: Cross multiply
    5,899.64x = 8,140.23 × 3,909.06
  4. Step 4: Simplify right side
    5,899.64x = 31,820,647.48
  5. Step 5: Solve for x
    x = 31,820,647.48/5,899.64
  6. Step 6: Final answer
    x = 5,393.66

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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.