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Finding the Fourth Proportional to 6,199.24, 8,546.10 and 4,430.20

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Solution

The fourth proportional to 6,199.24, 8,546.10 and 4,430.20 is: 6,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.24 : 8,546.10 = 4,430.20 : x
  2. Step 2: Convert to fraction form
    6,199.24/8,546.10 = 4,430.20/x
  3. Step 3: Cross multiply
    6,199.24x = 8,546.10 × 4,430.20
  4. Step 4: Simplify right side
    6,199.24x = 37,860,932.22
  5. Step 5: Solve for x
    x = 37,860,932.22/6,199.24
  6. Step 6: Final answer
    x = 6,107.35

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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.