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Finding the Fourth Proportional to 3,671.05, 5,506.77 and 1,206.22

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Solution

The fourth proportional to 3,671.05, 5,506.77 and 1,206.22 is: 1,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.05 : 5,506.77 = 1,206.22 : x
  2. Step 2: Convert to fraction form
    3,671.05/5,506.77 = 1,206.22/x
  3. Step 3: Cross multiply
    3,671.05x = 5,506.77 × 1,206.22
  4. Step 4: Simplify right side
    3,671.05x = 6,642,376.11
  5. Step 5: Solve for x
    x = 6,642,376.11/3,671.05
  6. Step 6: Final answer
    x = 1,809.39

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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.