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Finding the Fourth Proportional to 5,255.64, 7,871.16 and 4,152.60

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Solution

The fourth proportional to 5,255.64, 7,871.16 and 4,152.60 is: 6,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.64 : 7,871.16 = 4,152.60 : x
  2. Step 2: Convert to fraction form
    5,255.64/7,871.16 = 4,152.60/x
  3. Step 3: Cross multiply
    5,255.64x = 7,871.16 × 4,152.60
  4. Step 4: Simplify right side
    5,255.64x = 32,685,779.02
  5. Step 5: Solve for x
    x = 32,685,779.02/5,255.64
  6. Step 6: Final answer
    x = 6,219.18

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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.