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Finding the Fourth Proportional to 4,762.25, 7,145.06 and 2,129.51

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Solution

The fourth proportional to 4,762.25, 7,145.06 and 2,129.51 is: 3,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.25 : 7,145.06 = 2,129.51 : x
  2. Step 2: Convert to fraction form
    4,762.25/7,145.06 = 2,129.51/x
  3. Step 3: Cross multiply
    4,762.25x = 7,145.06 × 2,129.51
  4. Step 4: Simplify right side
    4,762.25x = 15,215,476.72
  5. Step 5: Solve for x
    x = 15,215,476.72/4,762.25
  6. Step 6: Final answer
    x = 3,195.02

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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.