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Finding the Fourth Proportional to 5,726.40, 8,590.56 and 1,830.40

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Solution

The fourth proportional to 5,726.40, 8,590.56 and 1,830.40 is: 2,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.40 : 8,590.56 = 1,830.40 : x
  2. Step 2: Convert to fraction form
    5,726.40/8,590.56 = 1,830.40/x
  3. Step 3: Cross multiply
    5,726.40x = 8,590.56 × 1,830.40
  4. Step 4: Simplify right side
    5,726.40x = 15,724,161.02
  5. Step 5: Solve for x
    x = 15,724,161.02/5,726.40
  6. Step 6: Final answer
    x = 2,745.91

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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.