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Finding the Fourth Proportional to 5,568.88, 7,664.60 and 4,774

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Solution

The fourth proportional to 5,568.88, 7,664.60 and 4,774 is: 6,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.88 : 7,664.60 = 4,774 : x
  2. Step 2: Convert to fraction form
    5,568.88/7,664.60 = 4,774/x
  3. Step 3: Cross multiply
    5,568.88x = 7,664.60 × 4,774
  4. Step 4: Simplify right side
    5,568.88x = 36,590,800.40
  5. Step 5: Solve for x
    x = 36,590,800.40/5,568.88
  6. Step 6: Final answer
    x = 6,570.59

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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.