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Finding the Fourth Proportional to 4,507.83, 6,758.64 and 2,425.74

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Solution

The fourth proportional to 4,507.83, 6,758.64 and 2,425.74 is: 3,636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.83 : 6,758.64 = 2,425.74 : x
  2. Step 2: Convert to fraction form
    4,507.83/6,758.64 = 2,425.74/x
  3. Step 3: Cross multiply
    4,507.83x = 6,758.64 × 2,425.74
  4. Step 4: Simplify right side
    4,507.83x = 16,394,703.39
  5. Step 5: Solve for x
    x = 16,394,703.39/4,507.83
  6. Step 6: Final answer
    x = 3,636.94

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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.