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Finding the Fourth Proportional to 5,774.16, 7,969.10 and 3,257.06

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Solution

The fourth proportional to 5,774.16, 7,969.10 and 3,257.06 is: 4,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.16 : 7,969.10 = 3,257.06 : x
  2. Step 2: Convert to fraction form
    5,774.16/7,969.10 = 3,257.06/x
  3. Step 3: Cross multiply
    5,774.16x = 7,969.10 × 3,257.06
  4. Step 4: Simplify right side
    5,774.16x = 25,955,780.72
  5. Step 5: Solve for x
    x = 25,955,780.72/5,774.16
  6. Step 6: Final answer
    x = 4,495.16

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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.