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Finding the Fourth Proportional to 4,885.84, 7,314.38 and 3,031

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Solution

The fourth proportional to 4,885.84, 7,314.38 and 3,031 is: 4,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.84 : 7,314.38 = 3,031 : x
  2. Step 2: Convert to fraction form
    4,885.84/7,314.38 = 3,031/x
  3. Step 3: Cross multiply
    4,885.84x = 7,314.38 × 3,031
  4. Step 4: Simplify right side
    4,885.84x = 22,169,885.78
  5. Step 5: Solve for x
    x = 22,169,885.78/4,885.84
  6. Step 6: Final answer
    x = 4,537.58

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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.