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Finding the Fourth Proportional to 3,645.84, 5,467.14 and 1,048.14

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Solution

The fourth proportional to 3,645.84, 5,467.14 and 1,048.14 is: 1,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.84 : 5,467.14 = 1,048.14 : x
  2. Step 2: Convert to fraction form
    3,645.84/5,467.14 = 1,048.14/x
  3. Step 3: Cross multiply
    3,645.84x = 5,467.14 × 1,048.14
  4. Step 4: Simplify right side
    3,645.84x = 5,730,328.12
  5. Step 5: Solve for x
    x = 5,730,328.12/3,645.84
  6. Step 6: Final answer
    x = 1,571.74

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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.