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Finding the Fourth Proportional to 4,141.70, 6,208.38 and 2,058.50

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Solution

The fourth proportional to 4,141.70, 6,208.38 and 2,058.50 is: 3,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.70 : 6,208.38 = 2,058.50 : x
  2. Step 2: Convert to fraction form
    4,141.70/6,208.38 = 2,058.50/x
  3. Step 3: Cross multiply
    4,141.70x = 6,208.38 × 2,058.50
  4. Step 4: Simplify right side
    4,141.70x = 12,779,950.23
  5. Step 5: Solve for x
    x = 12,779,950.23/4,141.70
  6. Step 6: Final answer
    x = 3,085.68

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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.