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Finding the Fourth Proportional to 3,706.33, 5,559.30 and 933.00

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Solution

The fourth proportional to 3,706.33, 5,559.30 and 933.00 is: 1,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.33 : 5,559.30 = 933.00 : x
  2. Step 2: Convert to fraction form
    3,706.33/5,559.30 = 933.00/x
  3. Step 3: Cross multiply
    3,706.33x = 5,559.30 × 933.00
  4. Step 4: Simplify right side
    3,706.33x = 5,186,837.32
  5. Step 5: Solve for x
    x = 5,186,837.32/3,706.33
  6. Step 6: Final answer
    x = 1,399.45

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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.