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Finding the Fourth Proportional to 4,050, 6,064.56 and 2,407.68

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Solution

The fourth proportional to 4,050, 6,064.56 and 2,407.68 is: 3,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,050 : 6,064.56 = 2,407.68 : x
  2. Step 2: Convert to fraction form
    4,050/6,064.56 = 2,407.68/x
  3. Step 3: Cross multiply
    4,050x = 6,064.56 × 2,407.68
  4. Step 4: Simplify right side
    4,050x = 14,601,519.82
  5. Step 5: Solve for x
    x = 14,601,519.82/4,050
  6. Step 6: Final answer
    x = 3,605.31

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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.