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Finding the Fourth Proportional to 3,706.77, 5,118.81 and 2,382.77

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Solution

The fourth proportional to 3,706.77, 5,118.81 and 2,382.77 is: 3,290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.77 : 5,118.81 = 2,382.77 : x
  2. Step 2: Convert to fraction form
    3,706.77/5,118.81 = 2,382.77/x
  3. Step 3: Cross multiply
    3,706.77x = 5,118.81 × 2,382.77
  4. Step 4: Simplify right side
    3,706.77x = 12,196,946.90
  5. Step 5: Solve for x
    x = 12,196,946.90/3,706.77
  6. Step 6: Final answer
    x = 3,290.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.