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Finding the Fourth Proportional to 4,703.11, 7,053.50 and 1,930.57

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Solution

The fourth proportional to 4,703.11, 7,053.50 and 1,930.57 is: 2,895.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.11 : 7,053.50 = 1,930.57 : x
  2. Step 2: Convert to fraction form
    4,703.11/7,053.50 = 1,930.57/x
  3. Step 3: Cross multiply
    4,703.11x = 7,053.50 × 1,930.57
  4. Step 4: Simplify right side
    4,703.11x = 13,617,240.23
  5. Step 5: Solve for x
    x = 13,617,240.23/4,703.11
  6. Step 6: Final answer
    x = 2,895.37

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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.