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Finding the Fourth Proportional to 6,572.29, 9,858.38 and 1,641.90

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Solution

The fourth proportional to 6,572.29, 9,858.38 and 1,641.90 is: 2,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.29 : 9,858.38 = 1,641.90 : x
  2. Step 2: Convert to fraction form
    6,572.29/9,858.38 = 1,641.90/x
  3. Step 3: Cross multiply
    6,572.29x = 9,858.38 × 1,641.90
  4. Step 4: Simplify right side
    6,572.29x = 16,186,474.12
  5. Step 5: Solve for x
    x = 16,186,474.12/6,572.29
  6. Step 6: Final answer
    x = 2,462.84

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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.