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Finding the Fourth Proportional to 4,054.39, 6,084.02 and 1,457.53

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Solution

The fourth proportional to 4,054.39, 6,084.02 and 1,457.53 is: 2,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.39 : 6,084.02 = 1,457.53 : x
  2. Step 2: Convert to fraction form
    4,054.39/6,084.02 = 1,457.53/x
  3. Step 3: Cross multiply
    4,054.39x = 6,084.02 × 1,457.53
  4. Step 4: Simplify right side
    4,054.39x = 8,867,634.38
  5. Step 5: Solve for x
    x = 8,867,634.38/4,054.39
  6. Step 6: Final answer
    x = 2,187.17

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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.