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Finding the Fourth Proportional to 4,765.99, 7,149.93 and 2,302.51

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Solution

The fourth proportional to 4,765.99, 7,149.93 and 2,302.51 is: 3,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.99 : 7,149.93 = 2,302.51 : x
  2. Step 2: Convert to fraction form
    4,765.99/7,149.93 = 2,302.51/x
  3. Step 3: Cross multiply
    4,765.99x = 7,149.93 × 2,302.51
  4. Step 4: Simplify right side
    4,765.99x = 16,462,785.32
  5. Step 5: Solve for x
    x = 16,462,785.32/4,765.99
  6. Step 6: Final answer
    x = 3,454.22

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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.