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Finding the Fourth Proportional to 5,381.48, 8,072.22 and 2,459

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Solution

The fourth proportional to 5,381.48, 8,072.22 and 2,459 is: 3,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.48 : 8,072.22 = 2,459 : x
  2. Step 2: Convert to fraction form
    5,381.48/8,072.22 = 2,459/x
  3. Step 3: Cross multiply
    5,381.48x = 8,072.22 × 2,459
  4. Step 4: Simplify right side
    5,381.48x = 19,849,588.98
  5. Step 5: Solve for x
    x = 19,849,588.98/5,381.48
  6. Step 6: Final answer
    x = 3,688.50

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1.5x scale

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.