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Finding the Fourth Proportional to 5,703.98, 7,862.49 and 4,285.62

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Solution

The fourth proportional to 5,703.98, 7,862.49 and 4,285.62 is: 5,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.98 : 7,862.49 = 4,285.62 : x
  2. Step 2: Convert to fraction form
    5,703.98/7,862.49 = 4,285.62/x
  3. Step 3: Cross multiply
    5,703.98x = 7,862.49 × 4,285.62
  4. Step 4: Simplify right side
    5,703.98x = 33,695,644.39
  5. Step 5: Solve for x
    x = 33,695,644.39/5,703.98
  6. Step 6: Final answer
    x = 5,907.40

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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.