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Finding the Fourth Proportional to 3,661.50, 5,492.94 and 1,470.40

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Solution

The fourth proportional to 3,661.50, 5,492.94 and 1,470.40 is: 2,205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.50 : 5,492.94 = 1,470.40 : x
  2. Step 2: Convert to fraction form
    3,661.50/5,492.94 = 1,470.40/x
  3. Step 3: Cross multiply
    3,661.50x = 5,492.94 × 1,470.40
  4. Step 4: Simplify right side
    3,661.50x = 8,076,818.98
  5. Step 5: Solve for x
    x = 8,076,818.98/3,661.50
  6. Step 6: Final answer
    x = 2,205.88

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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.