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Finding the Fourth Proportional to 3,766.84, 5,650.70 and 1,302.20

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Solution

The fourth proportional to 3,766.84, 5,650.70 and 1,302.20 is: 1,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.84 : 5,650.70 = 1,302.20 : x
  2. Step 2: Convert to fraction form
    3,766.84/5,650.70 = 1,302.20/x
  3. Step 3: Cross multiply
    3,766.84x = 5,650.70 × 1,302.20
  4. Step 4: Simplify right side
    3,766.84x = 7,358,341.54
  5. Step 5: Solve for x
    x = 7,358,341.54/3,766.84
  6. Step 6: Final answer
    x = 1,953.45

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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.