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Finding the Fourth Proportional to 4,054.52, 6,084.21 and 1,457.66

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Solution

The fourth proportional to 4,054.52, 6,084.21 and 1,457.66 is: 2,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.52 : 6,084.21 = 1,457.66 : x
  2. Step 2: Convert to fraction form
    4,054.52/6,084.21 = 1,457.66/x
  3. Step 3: Cross multiply
    4,054.52x = 6,084.21 × 1,457.66
  4. Step 4: Simplify right side
    4,054.52x = 8,868,709.55
  5. Step 5: Solve for x
    x = 8,868,709.55/4,054.52
  6. Step 6: Final answer
    x = 2,187.36

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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.