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Finding the Fourth Proportional to 4,587.57, 6,882.21 and 1,665.72

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Solution

The fourth proportional to 4,587.57, 6,882.21 and 1,665.72 is: 2,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587.57 : 6,882.21 = 1,665.72 : x
  2. Step 2: Convert to fraction form
    4,587.57/6,882.21 = 1,665.72/x
  3. Step 3: Cross multiply
    4,587.57x = 6,882.21 × 1,665.72
  4. Step 4: Simplify right side
    4,587.57x = 11,463,834.84
  5. Step 5: Solve for x
    x = 11,463,834.84/4,587.57
  6. Step 6: Final answer
    x = 2,498.89

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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.