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Finding the Fourth Proportional to 5,492.94, 8,238.33 and 1,490.25

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Solution

The fourth proportional to 5,492.94, 8,238.33 and 1,490.25 is: 2,235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.94 : 8,238.33 = 1,490.25 : x
  2. Step 2: Convert to fraction form
    5,492.94/8,238.33 = 1,490.25/x
  3. Step 3: Cross multiply
    5,492.94x = 8,238.33 × 1,490.25
  4. Step 4: Simplify right side
    5,492.94x = 12,277,171.28
  5. Step 5: Solve for x
    x = 12,277,171.28/5,492.94
  6. Step 6: Final answer
    x = 2,235.08

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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.