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Finding the Fourth Proportional to 3,755.65, 5,184.87 and 2,497.67

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Solution

The fourth proportional to 3,755.65, 5,184.87 and 2,497.67 is: 3,448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.65 : 5,184.87 = 2,497.67 : x
  2. Step 2: Convert to fraction form
    3,755.65/5,184.87 = 2,497.67/x
  3. Step 3: Cross multiply
    3,755.65x = 5,184.87 × 2,497.67
  4. Step 4: Simplify right side
    3,755.65x = 12,950,094.25
  5. Step 5: Solve for x
    x = 12,950,094.25/3,755.65
  6. Step 6: Final answer
    x = 3,448.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.