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Finding the Fourth Proportional to 4,054.95, 6,082.44 and 1,457.28

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Solution

The fourth proportional to 4,054.95, 6,082.44 and 1,457.28 is: 2,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.95 : 6,082.44 = 1,457.28 : x
  2. Step 2: Convert to fraction form
    4,054.95/6,082.44 = 1,457.28/x
  3. Step 3: Cross multiply
    4,054.95x = 6,082.44 × 1,457.28
  4. Step 4: Simplify right side
    4,054.95x = 8,863,818.16
  5. Step 5: Solve for x
    x = 8,863,818.16/4,054.95
  6. Step 6: Final answer
    x = 2,185.93

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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.