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Finding the Fourth Proportional to 3,661.50, 5,492.28 and 1,064.46

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Solution

The fourth proportional to 3,661.50, 5,492.28 and 1,064.46 is: 1,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.50 : 5,492.28 = 1,064.46 : x
  2. Step 2: Convert to fraction form
    3,661.50/5,492.28 = 1,064.46/x
  3. Step 3: Cross multiply
    3,661.50x = 5,492.28 × 1,064.46
  4. Step 4: Simplify right side
    3,661.50x = 5,846,312.37
  5. Step 5: Solve for x
    x = 5,846,312.37/3,661.50
  6. Step 6: Final answer
    x = 1,596.70

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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.