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Finding the Fourth Proportional to 4,294.35, 6,437.93 and 1,828.85

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Solution

The fourth proportional to 4,294.35, 6,437.93 and 1,828.85 is: 2,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.35 : 6,437.93 = 1,828.85 : x
  2. Step 2: Convert to fraction form
    4,294.35/6,437.93 = 1,828.85/x
  3. Step 3: Cross multiply
    4,294.35x = 6,437.93 × 1,828.85
  4. Step 4: Simplify right side
    4,294.35x = 11,773,966.95
  5. Step 5: Solve for x
    x = 11,773,966.95/4,294.35
  6. Step 6: Final answer
    x = 2,741.73

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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.