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Finding the Fourth Proportional to 5,897.70, 8,842.45 and 2,609

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Solution

The fourth proportional to 5,897.70, 8,842.45 and 2,609 is: 3,911.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.70 : 8,842.45 = 2,609 : x
  2. Step 2: Convert to fraction form
    5,897.70/8,842.45 = 2,609/x
  3. Step 3: Cross multiply
    5,897.70x = 8,842.45 × 2,609
  4. Step 4: Simplify right side
    5,897.70x = 23,069,952.05
  5. Step 5: Solve for x
    x = 23,069,952.05/5,897.70
  6. Step 6: Final answer
    x = 3,911.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.