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Finding the Fourth Proportional to 4,762.60, 7,145.57 and 2,129.87

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Solution

The fourth proportional to 4,762.60, 7,145.57 and 2,129.87 is: 3,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.60 : 7,145.57 = 2,129.87 : x
  2. Step 2: Convert to fraction form
    4,762.60/7,145.57 = 2,129.87/x
  3. Step 3: Cross multiply
    4,762.60x = 7,145.57 × 2,129.87
  4. Step 4: Simplify right side
    4,762.60x = 15,219,158.36
  5. Step 5: Solve for x
    x = 15,219,158.36/4,762.60
  6. Step 6: Final answer
    x = 3,195.56

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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.