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Finding the Fourth Proportional to 4,745.84, 6,549.09 and 2,649.92

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Solution

The fourth proportional to 4,745.84, 6,549.09 and 2,649.92 is: 3,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.84 : 6,549.09 = 2,649.92 : x
  2. Step 2: Convert to fraction form
    4,745.84/6,549.09 = 2,649.92/x
  3. Step 3: Cross multiply
    4,745.84x = 6,549.09 × 2,649.92
  4. Step 4: Simplify right side
    4,745.84x = 17,354,564.57
  5. Step 5: Solve for x
    x = 17,354,564.57/4,745.84
  6. Step 6: Final answer
    x = 3,656.80

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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.