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Finding the Fourth Proportional to 4,781.50, 7,172.52 and 1,703.50

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Solution

The fourth proportional to 4,781.50, 7,172.52 and 1,703.50 is: 2,555.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.50 : 7,172.52 = 1,703.50 : x
  2. Step 2: Convert to fraction form
    4,781.50/7,172.52 = 1,703.50/x
  3. Step 3: Cross multiply
    4,781.50x = 7,172.52 × 1,703.50
  4. Step 4: Simplify right side
    4,781.50x = 12,218,387.82
  5. Step 5: Solve for x
    x = 12,218,387.82/4,781.50
  6. Step 6: Final answer
    x = 2,555.35

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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.