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Finding the Fourth Proportional to 4,062.56, 6,093.61 and 1,430.19

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Solution

The fourth proportional to 4,062.56, 6,093.61 and 1,430.19 is: 2,145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.56 : 6,093.61 = 1,430.19 : x
  2. Step 2: Convert to fraction form
    4,062.56/6,093.61 = 1,430.19/x
  3. Step 3: Cross multiply
    4,062.56x = 6,093.61 × 1,430.19
  4. Step 4: Simplify right side
    4,062.56x = 8,715,016.51
  5. Step 5: Solve for x
    x = 8,715,016.51/4,062.56
  6. Step 6: Final answer
    x = 2,145.21

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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.