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Finding the Fourth Proportional to 3,673.92, 5,509.35 and 1,482.06

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Solution

The fourth proportional to 3,673.92, 5,509.35 and 1,482.06 is: 2,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.92 : 5,509.35 = 1,482.06 : x
  2. Step 2: Convert to fraction form
    3,673.92/5,509.35 = 1,482.06/x
  3. Step 3: Cross multiply
    3,673.92x = 5,509.35 × 1,482.06
  4. Step 4: Simplify right side
    3,673.92x = 8,165,187.26
  5. Step 5: Solve for x
    x = 8,165,187.26/3,673.92
  6. Step 6: Final answer
    x = 2,222.47

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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.