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Finding the Fourth Proportional to 4,166.50, 6,250.59 and 1,858

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Solution

The fourth proportional to 4,166.50, 6,250.59 and 1,858 is: 2,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.50 : 6,250.59 = 1,858 : x
  2. Step 2: Convert to fraction form
    4,166.50/6,250.59 = 1,858/x
  3. Step 3: Cross multiply
    4,166.50x = 6,250.59 × 1,858
  4. Step 4: Simplify right side
    4,166.50x = 11,613,596.22
  5. Step 5: Solve for x
    x = 11,613,596.22/4,166.50
  6. Step 6: Final answer
    x = 2,787.37

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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.