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Finding the Fourth Proportional to 3,590.09, 5,385.14 and 1,644.47

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Solution

The fourth proportional to 3,590.09, 5,385.14 and 1,644.47 is: 2,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.09 : 5,385.14 = 1,644.47 : x
  2. Step 2: Convert to fraction form
    3,590.09/5,385.14 = 1,644.47/x
  3. Step 3: Cross multiply
    3,590.09x = 5,385.14 × 1,644.47
  4. Step 4: Simplify right side
    3,590.09x = 8,855,666.03
  5. Step 5: Solve for x
    x = 8,855,666.03/3,590.09
  6. Step 6: Final answer
    x = 2,466.70

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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.