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Finding the Fourth Proportional to 5,256.64, 7,872.66 and 4,153.60

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Solution

The fourth proportional to 5,256.64, 7,872.66 and 4,153.60 is: 6,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.64 : 7,872.66 = 4,153.60 : x
  2. Step 2: Convert to fraction form
    5,256.64/7,872.66 = 4,153.60/x
  3. Step 3: Cross multiply
    5,256.64x = 7,872.66 × 4,153.60
  4. Step 4: Simplify right side
    5,256.64x = 32,699,880.58
  5. Step 5: Solve for x
    x = 32,699,880.58/5,256.64
  6. Step 6: Final answer
    x = 6,220.68

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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.