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Finding the Fourth Proportional to 3,135.98, 4,703.01 and 1,083.50

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Solution

The fourth proportional to 3,135.98, 4,703.01 and 1,083.50 is: 1,624.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.98 : 4,703.01 = 1,083.50 : x
  2. Step 2: Convert to fraction form
    3,135.98/4,703.01 = 1,083.50/x
  3. Step 3: Cross multiply
    3,135.98x = 4,703.01 × 1,083.50
  4. Step 4: Simplify right side
    3,135.98x = 5,095,711.34
  5. Step 5: Solve for x
    x = 5,095,711.34/3,135.98
  6. Step 6: Final answer
    x = 1,624.92

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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.