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Finding the Fourth Proportional to 5,189.68, 7,785.88 and 1,726.96

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Solution

The fourth proportional to 5,189.68, 7,785.88 and 1,726.96 is: 2,590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.68 : 7,785.88 = 1,726.96 : x
  2. Step 2: Convert to fraction form
    5,189.68/7,785.88 = 1,726.96/x
  3. Step 3: Cross multiply
    5,189.68x = 7,785.88 × 1,726.96
  4. Step 4: Simplify right side
    5,189.68x = 13,445,903.32
  5. Step 5: Solve for x
    x = 13,445,903.32/5,189.68
  6. Step 6: Final answer
    x = 2,590.89

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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.