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Finding the Fourth Proportional to 4,751.60, 7,129.46 and 2,557.76

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Solution

The fourth proportional to 4,751.60, 7,129.46 and 2,557.76 is: 3,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.60 : 7,129.46 = 2,557.76 : x
  2. Step 2: Convert to fraction form
    4,751.60/7,129.46 = 2,557.76/x
  3. Step 3: Cross multiply
    4,751.60x = 7,129.46 × 2,557.76
  4. Step 4: Simplify right side
    4,751.60x = 18,235,418.36
  5. Step 5: Solve for x
    x = 18,235,418.36/4,751.60
  6. Step 6: Final answer
    x = 3,837.75

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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.