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Finding the Fourth Proportional to 5,897.69, 8,844.65 and 1,948.21

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Solution

The fourth proportional to 5,897.69, 8,844.65 and 1,948.21 is: 2,921.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.69 : 8,844.65 = 1,948.21 : x
  2. Step 2: Convert to fraction form
    5,897.69/8,844.65 = 1,948.21/x
  3. Step 3: Cross multiply
    5,897.69x = 8,844.65 × 1,948.21
  4. Step 4: Simplify right side
    5,897.69x = 17,231,235.58
  5. Step 5: Solve for x
    x = 17,231,235.58/5,897.69
  6. Step 6: Final answer
    x = 2,921.69

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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.