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Finding the Fourth Proportional to 5,946.62, 8,210.32 and 3,709.40

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Solution

The fourth proportional to 5,946.62, 8,210.32 and 3,709.40 is: 5,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.62 : 8,210.32 = 3,709.40 : x
  2. Step 2: Convert to fraction form
    5,946.62/8,210.32 = 3,709.40/x
  3. Step 3: Cross multiply
    5,946.62x = 8,210.32 × 3,709.40
  4. Step 4: Simplify right side
    5,946.62x = 30,455,361.01
  5. Step 5: Solve for x
    x = 30,455,361.01/5,946.62
  6. Step 6: Final answer
    x = 5,121.46

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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.