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Finding the Fourth Proportional to 4,661, 6,992.58 and 1,583

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Solution

The fourth proportional to 4,661, 6,992.58 and 1,583 is: 2,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661 : 6,992.58 = 1,583 : x
  2. Step 2: Convert to fraction form
    4,661/6,992.58 = 1,583/x
  3. Step 3: Cross multiply
    4,661x = 6,992.58 × 1,583
  4. Step 4: Simplify right side
    4,661x = 11,069,254.14
  5. Step 5: Solve for x
    x = 11,069,254.14/4,661
  6. Step 6: Final answer
    x = 2,374.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.