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Finding the Fourth Proportional to 5,492.32, 7,563.44 and 4,774.19

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Solution

The fourth proportional to 5,492.32, 7,563.44 and 4,774.19 is: 6,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.32 : 7,563.44 = 4,774.19 : x
  2. Step 2: Convert to fraction form
    5,492.32/7,563.44 = 4,774.19/x
  3. Step 3: Cross multiply
    5,492.32x = 7,563.44 × 4,774.19
  4. Step 4: Simplify right side
    5,492.32x = 36,109,273.73
  5. Step 5: Solve for x
    x = 36,109,273.73/5,492.32
  6. Step 6: Final answer
    x = 6,574.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.