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Finding the Fourth Proportional to 4,054.96, 6,085.20 and 1,458.16

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Solution

The fourth proportional to 4,054.96, 6,085.20 and 1,458.16 is: 2,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.96 : 6,085.20 = 1,458.16 : x
  2. Step 2: Convert to fraction form
    4,054.96/6,085.20 = 1,458.16/x
  3. Step 3: Cross multiply
    4,054.96x = 6,085.20 × 1,458.16
  4. Step 4: Simplify right side
    4,054.96x = 8,873,195.23
  5. Step 5: Solve for x
    x = 8,873,195.23/4,054.96
  6. Step 6: Final answer
    x = 2,188.23

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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.