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Finding the Fourth Proportional to 5,726.86, 8,590.83 and 1,830.34

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Solution

The fourth proportional to 5,726.86, 8,590.83 and 1,830.34 is: 2,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.86 : 8,590.83 = 1,830.34 : x
  2. Step 2: Convert to fraction form
    5,726.86/8,590.83 = 1,830.34/x
  3. Step 3: Cross multiply
    5,726.86x = 8,590.83 × 1,830.34
  4. Step 4: Simplify right side
    5,726.86x = 15,724,139.78
  5. Step 5: Solve for x
    x = 15,724,139.78/5,726.86
  6. Step 6: Final answer
    x = 2,745.68

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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.