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Finding the Fourth Proportional to 4,703.97, 7,057.04 and 1,583.90

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Solution

The fourth proportional to 4,703.97, 7,057.04 and 1,583.90 is: 2,376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.97 : 7,057.04 = 1,583.90 : x
  2. Step 2: Convert to fraction form
    4,703.97/7,057.04 = 1,583.90/x
  3. Step 3: Cross multiply
    4,703.97x = 7,057.04 × 1,583.90
  4. Step 4: Simplify right side
    4,703.97x = 11,177,677.52
  5. Step 5: Solve for x
    x = 11,177,677.52/4,703.97
  6. Step 6: Final answer
    x = 2,376.22

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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.