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Finding the Fourth Proportional to 4,230, 5,836.05 and 2,739.06

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Solution

The fourth proportional to 4,230, 5,836.05 and 2,739.06 is: 3,779.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230 : 5,836.05 = 2,739.06 : x
  2. Step 2: Convert to fraction form
    4,230/5,836.05 = 2,739.06/x
  3. Step 3: Cross multiply
    4,230x = 5,836.05 × 2,739.06
  4. Step 4: Simplify right side
    4,230x = 15,985,291.11
  5. Step 5: Solve for x
    x = 15,985,291.11/4,230
  6. Step 6: Final answer
    x = 3,779.03

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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.