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Finding the Fourth Proportional to 3,752.61, 5,630.22 and 1,674.06

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Solution

The fourth proportional to 3,752.61, 5,630.22 and 1,674.06 is: 2,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.61 : 5,630.22 = 1,674.06 : x
  2. Step 2: Convert to fraction form
    3,752.61/5,630.22 = 1,674.06/x
  3. Step 3: Cross multiply
    3,752.61x = 5,630.22 × 1,674.06
  4. Step 4: Simplify right side
    3,752.61x = 9,425,326.09
  5. Step 5: Solve for x
    x = 9,425,326.09/3,752.61
  6. Step 6: Final answer
    x = 2,511.67

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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.