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Finding the Fourth Proportional to 5,846.40, 8,066.40 and 3,362.40

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Solution

The fourth proportional to 5,846.40, 8,066.40 and 3,362.40 is: 4,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.40 : 8,066.40 = 3,362.40 : x
  2. Step 2: Convert to fraction form
    5,846.40/8,066.40 = 3,362.40/x
  3. Step 3: Cross multiply
    5,846.40x = 8,066.40 × 3,362.40
  4. Step 4: Simplify right side
    5,846.40x = 27,122,463.36
  5. Step 5: Solve for x
    x = 27,122,463.36/5,846.40
  6. Step 6: Final answer
    x = 4,639.17

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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.