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Finding the Fourth Proportional to 5,104.99, 7,656.40 and 1,641.43

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Solution

The fourth proportional to 5,104.99, 7,656.40 and 1,641.43 is: 2,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.99 : 7,656.40 = 1,641.43 : x
  2. Step 2: Convert to fraction form
    5,104.99/7,656.40 = 1,641.43/x
  3. Step 3: Cross multiply
    5,104.99x = 7,656.40 × 1,641.43
  4. Step 4: Simplify right side
    5,104.99x = 12,567,444.65
  5. Step 5: Solve for x
    x = 12,567,444.65/5,104.99
  6. Step 6: Final answer
    x = 2,461.80

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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.